1. Links To Low-dimensional Topology: 3-manifolds Links to low-dimensional topology resources.Category Science Math Topology Geometric Topology......General Conferences Pages of Links Knot Theory 3manifolds Miscellany. Three-manifolds. MattBrin has written some notes on Seifert-fibered 3-manifolds. http://www.math.unl.edu/~mbritten/ldt/3mfld.html

General Conferences Pages of Links Knot Theory ... Home pages Three-manifolds MSRI has made available, as streaming video, many of the talks that took place at MSRI in the last few years, including the recent KirbyFest. You will need a copy of RealPlayer (if you don't already have one) in order to watch the video; the accompanying slides are much more low-tech. Matt Brin has written some notes on Seifert-fibered 3-manifolds I have written some notes (just under 100 pages) on foliations of 3-manifolds. They can be downloaded either as a (400K) Dvi file or as a (640K) Postscript file. Unfortunately, these files do not contain the figures, which can make them very hard to read, especially towards the end. Write and I'll send you the firgures. I am in the process of putting together a WWW page on the Poincare conjecture , based on a talk I gave at NMSU on the subject. You can go take a look at what I've put into it so far. One of these days I'll finish it! Tsuyoshi Kobayashi has posted his notes from the talks at the 1997 Georgia Topology Conference, as jpeg files.

2. CDS 202 Course Texts The Geometry and Topology of Threemanifolds by William P. Thurston Electronic version 1.1 - March 2002 - with an index! This is an electronic edition of the 1980 lecture notes distributed by Princeton University. http://www.cds.caltech.edu/~marsden/bib_src/mta/Book

CDS 202 - Geometry of Nonlinear Systems Second Term: Winter 2001 Instructor: Jerrold Marsden COURSE TEXT: Manifolds, Tensors, Analysis, and Applications Second Edition. Springer-Verlag, 1988; R. Abraham, J. E. Marsden, and T. Ratiu 2001 Draft: Third Edition An updated version of this book will be made available as the course is taught. Students should, therefore, NOT download and print the whole thing Currently being revised and updated. Print chapters only as needed. Revised Chapter 1 : Third Edition, January 7, 2001 Chapter 1: Topology Revised Chapter 2 : Third Edition, January 9, 2001 Chapter 2: Banach Spaces and Differential Calculus Revised Chapter 3 : Third Edition, January 21, 2001 Chapter 3: Manifolds and Vector Bundles Revised Chapter 4 : Third Edition, January 30, 2001 Chapter 4: Vector Fields and Dynamical Systems Revised Chapter 5 : Third Edition, February 11, 2001 Chapter 5: Tensors Revised Chapter 6 : Third Edition, February 16, 2001 Chapter 6: Differential Forms Revised Chapter 7 : Third Edition, February 25, 2001 Chapter 7: Integration on Manifolds Revised Chapter 8: Third Edition, March 7, 2001

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4. 57: Manifolds And Cell Complexes manifolds are spaces like the sphere which look locally like Euclidean space. http://www.math.niu.edu/~rusin/known-math/index/57-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 57: Manifolds and cell complexes Introduction Manifolds are spaces like the sphere which look locally like Euclidean space. In particular, these are the spaces in which we can discuss (locally-)linear maps, and the spaces in which to discuss smoothness. They include familiar surfaces. Cell complexes are spaces made of pieces which are part of Euclidean space, generalizing polyhedra. These types of spaces admit very precise answers to questions about existence of maps and embeddings; they are particularly amenable to calculations in algebraic topology; they allow a careful distinction of various notions of equivalence. These are the most classic spaces on which groups of transformations act. This is also the setting for knot theory. History See the article on Topology at St Andrews. Perhaps it is easiest to use classic literature to understand differential topology: Flatland ; here are two Backup sites and the home page for Project Gutenberg Applications and related fields There are two other topology pages: Algebraic topology definitions and computations of fundamental groups, homotopy groups, homology and cohomology. This includes

5. The Manifolds The Leader in Manifold Development. Providing to top teams in professional racing. Wilson manifolds has become the industry standard for intake systems. http://www.themanifolds.com/

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6. Numerical Analysis On Manifolds Cambridge Numerical Analysis Group University of Cambridge Nonlinear Centre We expect a number of visitors in the forthcoming academical year with an interest in numerical methods for differential equations on manifolds. http://www.damtp.cam.ac.uk/user/na/Manifolds

Cambridge Numerical Analysis Group and University of Cambridge Nonlinear Centre We expect a number of visitors in the forthcoming academical year with an interest in numerical methods for differential equations on manifolds. Combined with the ongoing work in Cambridge on this subject, the outcome will be a (highly informal) special year on numerical manifolds. Inasmuch as it is possible to predict the course of future research, the main foci of our interest will be ODE methods on general differentiable manifolds; Numerical methods on Lie groups and on homogeneous spaces; Symplectic methods for Hamiltonian systems; Methods for isospectral flows and other group actions; Computation of invariant measures for dynamical systems; Extraction of topological invariants from dynamical systems; Applications in molecular dynamics, astronomy etc. A whole range of activities is planned for the forthcoming year: seminars, informal gatherings and perhaps a one-two day meeting in Spring 97. If interested in further details, send email to Antonella Zanna Long-term visitors: Elena Celledoni (University of Trieste) Numerical ODEs, waveform relaxation, Krylov spaces.

7. Manifolds - Cape Town South Africa Rowlands manifolds Cape Town makers and suppliers of intake manifolds for sidedraught weber carbs and downdraught weber carbs Welcome to Rowland manifolds. Makers and Suppliers of Intake manifolds http://www.manifolds.co.za/

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8. Invariants Of Knots And 3-manifolds Research Institute for Mathematical Sciences, Kyoto University. Workshop 1721 September. Seminars Category Science Math Topology Events Past Events......Invariants of knots and 3manifolds. This web page was moved to the followingURL. http//www.ms.u-tokyo.ac.jp/~tomotada/proj01/index.html http://www.is.titech.ac.jp/~tomotada/proj01/

Invariants of knots and 3-manifolds This web page was moved to the following URL. http://www.ms.u-tokyo.ac.jp/~tomotada/proj01/index.html

9. AMSUMI_index Special session of the AMS-UNI meeting. Pisa, Italy; 15,17 June 2002.Category Science Math Topology Events Past Events......First Joint Meeting American Mathematical Society Unione Matematica ItalianaPisa, June 12-16, 2002 Special Session. `The Topology of 3-manifolds'. http://www.dm.unipi.it/~geom/meetings_2002/AMSUMI/AMSUMI_index.html

First Joint Meeting American Mathematical Society - Unione Matematica Italiana Pisa, June 12-16, 2002 Special Session `The Topology of 3-Manifolds' Organized by Riccardo Benedetti, Carlo Petronio, Dale Rolfsen, and Jeff Weeks The official talks of the Special Session will take place on Saturday, June 15, 2002 An extra day of talks beyond the program of the AMS/UMI meeting will be held on Monday, June 17, 2002 under the auspices of the Department of Mathematics, University of Pisa. A detailed schedule for both events is now available, and most abstracts also are. Speakers: Colin Adams (Williamstown) Ian Agol (Chicago) Silvia Benvenuti (Pisa) Steven Boyer (Montreal), Olivier Collin (Montreal) Daryl Cooper (Santa Barbara) Joanna Kania-Bartoszynska (Boise) Sadayoshi Kojima (Tokyo) Christine Lescop (Grenoble) Paolo Lisca (Pisa) Bruno Martelli (Pisa) Sergei Matveev (Cheljabinsk) Mattia Mecchia (Trieste) Luisa Paoluzzi (Dijon) Riccardo Piergallini (Camerino) Joan Porti (Barcelona) Marta Rampichini (Milano) Martin Scharlemann (Santa Barbara) Abigail Thompson (Davis) Bruno Zimmermann (Trieste) Please register and book your accommodation by yourself through the following website An early registration or hotel reservation may be considerably cheaper than a late one.

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12. Complex-Analytic Geometry Of Complex Parallelizable Manifolds Monograph by Jörg Winkelmann. Chapters in DVI.Category Science Math Publications Online Texts......ComplexAnalytic Geometry of Complex Parallelizable manifolds. Jörg Winkelmann. Surveyarticle on results obtained on complex parallelizable manifolds. http://www.math.unibas.ch/~winkel/cplx/papers/gca.html

Complex-Analytic Geometry of Complex Parallelizable Manifolds Abstract. Survey article on results obtained on complex parallelizable manifolds. Full text available as .dvi-file and as .ps-file Appeared in: Proc. Geometric Complex Analysis. 667-678 ed. by J. Noguchi et. al. World Scientific Publishing Singapur 1996 Back to main page Click here to ask for reprints, make comments, etc. Last modification: 21 Mar 2001

13. 58: Global Analysis, Analysis On Manifolds 58 Global analysis, analysis on manifolds. Global analysis, or analysis on manifolds,studies the global nature of differential equations on manifolds. http://www.math.niu.edu/~rusin/known-math/index/58-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 58: Global analysis, analysis on manifolds Introduction Global analysis, or analysis on manifolds, studies the global nature of differential equations on manifolds. In addition to local tools from ordinary differential equation theory, global techniques include the use of topological spaces of mappings. In this heading also we find general papers on manifold theory, including infinite-dimensional manifolds and manifolds with singularities (hence catastrophe theory), as well as optimization problems (thus overlapping the Calculus of Variations (The real introduction to this area will have to summarize the Atiyah-Singer Index Theorem!) History Applications and related fields For dynamical systems, ergodic theory, and chaos see 37: Dynamical Systems For fractals see 28: Measure Theory For geometric integration theory, See 49FXX, 49Q15 See also 32-XX, 32CXX, 32FXX, 46-XX, 47HXX, 53CXX; Subfields General theory of differentiable manifolds Infinite-dimensional manifolds Calculus on manifolds; nonlinear operators, see also 47HXX

14. Topology Of Manifolds Of Dimensions 3 And 4 Conference In honour of the 60th birthday of Andrew Casson. University of Texas at Austin, USA; 1921 May 2003. http://www.ma.utexas.edu/topcon2/

There will be a Conference on the Topology of Manifolds of Dimensions 3 and 4 at the University of Texas at Austin, May 19-21 2003, in honor of the 60th birthday of Andrew Casson. Speakers will include D. Calegari M. Freedman D. Gabai R. Kirby G. Kuperberg D. Long D. McDuff A. Ranicki R. Stern D. Sullivan C. Taubes P. Teichner K. Walker T. Wall There are funds available to help support graduate students and postdocs. Graduate students and postdocs wishing to apply for support should consult the registration page for further details. For details about Hotels please follow the link below for local information.

15. G6522: Topology Of Manifolds This is the web resource page for a course taught by John Morgan in Fall 1997 at Columbia University.Category Science Math Topology......Topology of manifolds. Supersymmetry and QFT. This is the web resource page for Topologyof manifolds, taught by John Morgan in Fall 1997 at Columbia University. http://www.math.columbia.edu/courses/archived/6522/

Topology of Manifolds Supersymmetry and QFT This is the web resource page for Topology of Manifolds, taught by John Morgan in Fall 1997 at Columbia University. Course notes, as well as problem sets and solutions will be posted here during the course of the semester. This course is based on lectures on Quantum Field Theory given at the Institute for Advanced Study at Princeton during the 1996-1997 academic year. Relevant resources from that lecture series are linked to here. You can also go directly to their web site New lectures at Santa Barbara There are many helpful lecture notes online from the ITP Miniprogram on Geometry and Duality, which took place in Santa Barbara in January 1998. There are also real audio files which allow you to hear the lectures! Problem Sets Problem Set 1, by Edward Witten (given at IAS) Source DVI Postscript Problem Set 2, by Edward Witten (given at IAS) Source DVI Postscript Problem Set 3, by Edward Witten (given at IAS) Source DVI Postscript Superhomework, by Edward Witten (given at IAS) Source DVI Postscript Addendum: Source DVI Postscript Solution Sets for Problem Set 1, by J. Morgan and G. Langmead

16. Keystone Manifolds - Home Page Laboratory plumbing and tubing manifolds for the laboratory. Laboratory piping system replacement.Category Science Instruments and Supplies......Keystone manifolds, Inc. provides innovative products of high quality to thelaboratory marketplace. Keystone manifolds, Inc. ALUMINUM MANIFOLD SYSTEMS. http://www.keystonemanifolds.com/

17. Spaces Of Kleinian Groups And Hyperbolic 3-Manifolds Isaac Newton Institute for Mathematical Sciences, Cambridge, UK; 21 July 15 August 2003.Category Science Math Geometry Events......Isaac Newton Institute for Mathematical Sciences. Spaces of KleinianGroups and Hyperbolic 3manifolds 21 Jul15 Aug 2003. Organisers http://www.newton.cam.ac.uk/programs/SKG/

Workshops Participants Long Stay Short Stay Contacts Mailing list ... Newton Institute Isaac Newton Institute for Mathematical Sciences Spaces of Kleinian Groups and Hyperbolic 3-Manifolds 21 Jul15 Aug 2003 Organisers: Professor C Series (Warwick) Professor Y Minsky (Stony Brook) Professor M Sakuma (Osaka) Programme theme Kleinian groups stand at the meeting point of several different parts of mathematics. Classically, they arose as the monodromy groups of Schwarzian equations, in modern terminology projective structures, on Riemann surfaces.The action by Möbius maps on the Riemann sphere provides further intimate links not only with Riemann surfaces, but also complex dynamics and fractals, while Thurston's revolutionary insights have made hyperbolic 3-manifolds, quotients of the isometric action on hyperbolic 3-space, central to 3-dimensional topology. The juxtaposition of Thurston's work with Teichmüller theory makes it natural to study spaces of Kleinian groups. From the viewpoint of complex dynamics, a space of Kleinian groups is a close analogue of the Mandelbrot set; Bers' simultaneous uniformisation theorem reveals these spaces as an extension of Teichmüller theory; while from the 3-dimensional viewpoint they become deformation spaces of hyperbolic 3-manifolds. Such ideas will be the main focus of this meeting.Each approach contributes its individual flavour, and the aim of this programme is to bring together the diverse threads.

18. Smooth Manifolds. Smooth manifolds. One If either involves a chart which the other doesn'taccept as smooth, the manifolds obtained are different. However http://www.chaos.org.uk/~eddy/math/smooth.html

Smooth Manifolds One of the most important changes general relativity forced in physical theory was the transition from the use of flat (vector) spaces to that of curved spaces. The former are globally Euclidean (a formal description of flat space): the latter are locally Euclidean, but deviate from this behaviour in `large' regions. The mathematical formalism for describing curved spaces is the smooth manifold A smooth manifold is a topological space with an open cover in which the covering neighbourhoods are all smoothly isomorphic to one another. One generally defines `smoothly' for these purposes in terms of a smooth atlas . As time goes by, I'll doubtless fill that definition in with hyper-links to explain the jargon it contains. For the present, what matters is that we obtain a notion of smoothness for morphisms involving the manifold and the ability to define scalar functions on it and embeddings of our space of scalars in it (paths). From this we can obtain a full tensor bundle for the smooth manifold and a notion of smoothness for tensor fields on the manifold.

19. Manifold -- From MathWorld In general, any object which is nearly flat on small scales is a manifold, andso manifolds constitute a generalization of objects we could live on in which http://mathworld.wolfram.com/Manifold.html

Topology Manifolds Math Contributors Rowland Manifold This entry contributed by Todd Rowland A manifold is a topological space which is locally Euclidean (i.e., around every point, there is a neighborhood which is topologically the same as the open unit ball in ). To illustrate this idea, consider the ancient belief that the Earth was flat as contrasted with the modern evidence that it is round. This discrepancy arises essentially from the fact that on the small scales that we see, the Earth does indeed look flat (although the Greeks did notice that the last part of a ship to disappear over the horizon was the mast). In general, any object which is nearly "flat" on small scales is a manifold, and so manifolds constitute a generalization of objects we could live on in which we would encounter the round/flat Earth problem, as first codified by More formally, any object that can be "charted" is a manifold. As a topological space , a manifold can be compact or noncompact, and connected or disconnected. Commonly, the unqualified term "manifold"is used to mean "manifold without boundary." This is the usage followed in this work. However, an author will sometimes be more precise and use the term open manifold for a noncompact manifold without boundary or closed manifold for a compact manifold without boundary.

20. Hogan's Racing Manifolds http://www.hogansracingmanifolds.com/

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