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Topic: Low-dimensional topology

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Rob Kirby's Home Page Teichner's transparencies from his lecture on 15 April 2000 at the Berkeley Topology Conference math.berkeley.edu /~kirby

Links to low-dimensional topology: General The Topology Atlas is hosting a web-based course in topology, including lecture notes and solved problems for a course in undergraduate topology. The Geometry and Topology Address Book has its own page at the University of Florida. A new electronic journal entitled Geometry and Topology has been inaugurated at the University of Warwick. www.math.unl.edu /~mbritten/ldt/general.html

Award#0306062 - Problems in Low Dimensional Topology The investigator's research is focussed on understanding two important phenomena in low dimensional topology: first, understanding exactly what is accomplished through the use of stabilization in relating two equivalent closed braids; and second, understanding when there is the occurence of topologically essential surfaces inside a 3-dimensional manifold, i.e. This phemomenon of knottest does not occur in any lower or higher dimensional space---the advantage of a 5-dimensional jewelry box is that a collection of strands of pearls can never be tangled. The 3-dimensional space in which we live is unique in its ability to retain information about the "knottest" of a collection of closed loops (think of a collection of tangled strands of pearls inside a jewelry box). www.fastlane.nsf.gov /servlet/showaward?award=0306062

DIRECTORY: Science_and_Technology/Math/Geometry Information and resources about geometric group theory and low-dimensional topology. Visual and mathematical descriptions of higher dimensional objects, with Java applets for displaying and rotating images such as Steiner surfaces, Klein bottles, and minimal surfaces. Features an illustrated dictionary of special plane curves, a paper on wallpaper groups, mathematics image gallery and links to software packages. www.aforall.com /directory/Science_and_Technology/Math/Geometry

RIMS Project 2001 Apart from the inherent attractiveness of low-dimensional topology as a field of particular mathematical complexity, it is also an enticing study because of its `visibility', that is, one can actually view and feel low-dimensional objects such as 3-dimensional manifolds and knotted circles. For most of the twentieth century, we have studied low dimensional topology using both the direct, geometrical `cut-and-paste' methods, and the more abstract techniques of Algebraic Topology. As a result, techniques from low-dimensional topology are now used in other fields including not only number theory, representation theory and integrable systems, but also theoretical physics. www.kurims.kyoto-u.ac.jp /~kenkyubu/proj01/index.html

Mathematics Topology Geometric topology is often split into low dimensional (4 or less) and high dimensional. There were enormous advances in high dimensional topology during the 60’s including the solution of the high dimensional Poincare conjecture, and a good understanding of how differentiability enters into the picture, for example through the existence of exotic smooth structures on spheres. Stephen is a recent addition to the topology group at UCSB. www.math.ucsb.edu /department/topology.php

Geometry and Topology Editors Interests Low dimensional topology, mapping class groups of surfaces, moduli space of curves, diffeomorphism groups Low Dimensional Topology, Knot Theory, Hyperbolic Geometry, Foliation and Lamination Theory. Geometric and low dimensional topology, and, more particularly, the topology of 4-manifolds and topological quantum field theory. www.maths.warwick.ac.uk /gt/gtedints.html

Low-Dimensional Topology at Rice University Connie Leidy ; Low-dimensional topology, homological algebra, and noncommutative algebra. John Hempel ; Topology of manifolds and associated algebraic problems, primarily in group theory. math.rice.edu /People/low-dim.html

Graduate Student Handbook:Faculty in Topology Perhaps the single most interesting problem in low dimensional topology is to determine to what extent group invariants characterize a manifold. Weiping Li : Low-dimensional topology, involving 3-manifolds, Casson invariants and Floer homology, using methods from gauge theory, nonlinear analysis on infinite dimensional manifolds, symplectic topology and dynamical systems. There is normally an active topology seminar with good graduate student participation. www.math.okstate.edu /~alspach/grad/topology.html

www.CompuTop.org Welcome to CompuTop.org, a site for for people doing computational stuff with low-dimensional topology. If you know any other software that should be listed here, drop me a line. www.computop.org

CRM: Thematic Programme 2001-2002 Recently there have been important break throughs in the study of the topology of manifolds and related topics on group actions, especially in the area of 3- and 4- dimensional manifolds with new imput from the Seiberg-Witten theory and symplectic topology. The workshop will focus on recent developments in automorphisms of affine spaces and related algebraic varieties with simple topology, in particular exotic affine spaces (algebraic varieties homeomorphic to an affine space). The theory of infinite groups was revolutionized by an infusion of geometric ideas from geometry and topology. www.crm.umontreal.ca /act/theme/theme_2001-2002_an.html

Geometry / Topology at MSU His area of interest is the geometric topology of low-dimensional manifolds. Slava works in 4-dimensional topology and geometry.He is currently an Assistant Professor at the University of Virginia. She works on symplectic and contact geometry and topology. www.mth.msu.edu /gt/GTPDRight.html

Low Dimensional Topology - The KirbyFest There will be an electronic volume which links to papers in low dimensional topology associated with the KirbyFest. Current research areas on which the conference will focus include gauge theory and smooth structures on 4-manifolds, symplectic and contact topology, topology of 4-manifolds, quantum topology and perturbative invariants of knots and 3-manifolds, hyperbolic geometry in dimension 3, and combinatorial methods in knot theory and 3-dimensional topology. The Scope: Recent years have seen spectacular new developments in the study of three and four dimensional manifolds, and in knot theory. www.msri.org /activities/events/9798/kirbyfest

Open Directory - Science: Math: Topology: People Geometric Group Theory and Low-Dimensional Topology, as well as the neighboring fields of Combinatorics, Graph theory, Computational Geometry and certain types of Riemannian Geometry. Topology and combinatorics: hyperplane arrangements, the topology and geometry of manifolds, the homology of discrete groups, the homotopy theory of high-dimensional knots. Research interests in number theory, algebra, representation theory and algebraic topology. dmoz.org /Science/Math/Topology/People

Topology Atlas: Past Conferences The organizers of the special session on the Dynamics and Topology of Low Dimensional Flows have created a web page for their session. September 23--27, 1996, The 26th National Conference on Geometry and Topology, to be held in conjuction with the First Conference of the Balkan Society of Geometers, University Politehnica, Bucharest, Romania. This is a weekly lecture series intended to highlight research involving the interaction of topology with other areas of mathematics or with other disciplines. at.yorku.ca /list/conf_arch.htm

Clay Mathematics Institute These courses will concentrate on recent activity at the crossroads of mathematical disciplines around low-dimensional topology: the theory of holomorphic curves, gauge theory, knot theory, smooth four-manifold topology, and contact geometry. Designed for graduate students and mathematicians within five years of their Ph.D., the program is organized around the related themes of Floer Homology, Gauge Theory, and Low Dimensional Topology. If there is not complete agreement between the results of one's work and experiment, one should not allow oneself to be too discouraged, because the discrepancy may well be due to minor features that are not properly taken into account and that will get cleared up with further development of the theory. www.claymath.org /programs/summer_school/2004

News Scott Carter, chair of the department of Mathematics and Statistics, has co-authored the text Surfaces in 4-Space released April 12 by the Springer Series: Encyclopedia of Mathematical Sciences, Low Dimensional Topology, Volume 111. And we will open the symposium for questions from the public. www.southalabama.edu /arts&sci/news.html

Joint Introductory Workshop on Combinatorics and Low-dimensional Topology It should enable graduate students and mathematicians with little or no background in combinatorics or low-dimensional topology to participate more fully in the workshops and seminars of the programs, as well as providing an opportunity for mathematicians to learn about some of the recent activity in combinatorics and low- dimensional topology. Scope : This workshop will present an introduction to the main topics to be covered by the Combinatorial Program and the Low-dimensional Topology Program. Low-dimensional Topology, MSRI will host a Joint Introductory Workshop on Combinatorics and Low-dimensional Topology, August 12-23, 1996. www.msri.org /activities/programs/9697/comb/Comb-LDTintro.html

Mathematics 139 (Classical Geometry and Low-Dimensional Topology) Home Page The emphasis will be on the relationship with topology, and the existence of metrics of constant curvature on a vast class of two and three dimensional manifolds. Three dimensional geometry and topology W. Thurston Princeton Mathematical Series, 35. Hatcher's notes on 3-manifold topology are available from his home page. www.cco.caltech.edu /~dannyc/courses/139/139.html

Problems In Low-Dimensional Topology (ResearchIndex) @misc{ quinn-problems, author = "Frank Quinn", title = "Problems In Low-Dimensional Topology", url = "citeseer.ist.psu.edu/1745.html" } 23 Problems in low-dimensional topology - Kirby - 1996 13 Topology of homology manifolds- Bryant, Ferry et al. citeseer.ist.psu.edu /1745.html

INVARIANTS IN LOW DIMENSIONAL TOPOLOGY In addition, we plan to have lectures on topics closely related to low-dimensional topology (such as symplectic and contact topology, knot theory, Seiberg-Witten invariants). The workshop will be organized around a minicourse given by Peter Ozsváth and Zoltán Szabó on the Heegaard-Floer invariants recently introduced by them. www.renyi.hu /~lowdim/03

Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology (Translations of Mathematical Monographs) , Find lowest book prices, 0821805886 ISBN Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology (Translations of Mathematical Monographs), Find lowest book prices, 0821805886 ISBN Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology (Translations of Math... Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology (Translations of Mathematical Monographs) www.aaabooksearch.com /ISBN/0821805886

AddALL.com - Selected Applications of Geometry to Low Dimensional Topology Selected Applications of Geometry to Low Dimensional Topology AddALL.com - Selected Applications of Geometry to Low Dimensional Topology If you cannot find this book in our new and in print search, be sure to try our used and out of print search too! www3.addall.com /detail/0821870009.html

Dan Burghelea Home Page Geometry and Topology in Dimensions 3 and 4 3:00 -- 4:00, Dan Burghelea (Ohio State): Laplace transform, spectral geometry and topology. www.math.ohio-state.edu /conferences/gd34

Lerf And Low Dimensional Topology (ResearchIndex) we describe the connection between LERF and low dimensional topology and introduce both LERF 3-manifold groups and non-LERF 3-manifold groups. @misc{ moon-lerf, author = "Myoungho Moon", title = "Lerf And Low Dimensional Topology", url = "citeseer.ist.psu.edu/362434.html" } 1 Combinatorial group theory and topology (context) - Hempel, for - 1984 citeseer.ist.psu.edu /362434.html

Kleene Math Library New Books - April 2004 CATEGORICAL FOUNDATIONS : SPECIAL TOPICS IN ORDER, TOPOLOGY, ALGEBRA, AND SHEAF THEORY / edited by Maria Cristina Pedicchio, Walter Tholen. Cambridge, UK ; New York : Cambridge University Press, 2004. GRAPHS ON SURFACES AND THEIR APPLICATIONS / Sergei K. Lando, Alexander K. Zvonkin ; appendix by Don B. Zagier. math.library.wisc.edu /newbooks/2004-04.htm

Problems in Low-Dimensional Topology - Kirby (ResearchIndex) @misc{ kirby96problems, author = "R. Kirby", title = "Problems in low-dimensional topology", text = "R. Kirby, Problems in low-dimensional topology (1996).", year = "1996", url = "citeseer.ist.psu.edu/106580.html" } citeseer.ist.psu.edu /106580.html

Program Details for Combinatorial Methods in Low-Dimensional Topology 1 Program Details for Combinatorial Methods in Low-Dimensional Topology 1 www.archive.org /movies/movies-details-db.php?collection=msri&collectionid=lecture11847&from=thisJustIn

Books : Low-Dimensional Topology: Lectures at the Morningside Center of Mathematics Books : Low-Dimensional Topology: Lectures at the Morningside Center of Mathematics Home > Shop > Books : Low-Dimensional Topology: Lectures at the Morningside Center of Mathematics www.modelrailroads.net /cgi-modelrailroads/shop-item_id-1571461124-search_type-AsinSearch-locale-us.html

Chronological list of videos Sagan Intoductory Workshop in Combinatorics and Low-dimensional Topology #15/20 960812-960823 Geometric Combinatorics, III L. Gordon--Introductory Workshop in Combinatorics and Low-dimensional topology #18/20 960812-960823 Representation theory and symmetric functions, V B. Thurston--Introductory Workshop in Combinatorics and Low-dimensional Topology #07/20 960812-960823 Geometric Combinatorics, IV L. www.msri.org /local/library/video_list.html

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