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Topic: Low dimensional topology

Related Topics

Hamel dimension

The Fifth Dimension

Super Dimension Fortress Macross

Hausdorff dimension

dimension of a vector space

The 5th Dimension

Why 10 dimensions

Krull dimension

Dungeon Dimensions

Lebesgue covering dimension

dimension of an algebraic variety

Dimension theorem for vector spaces

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	Topology (Site not responding. Last check: 2007-10-14)
		Topology is the mathematical study of those properties that are preserved through continuous deformations of objects.
		A circle is topologically equivalent to an ellipse, a sphere is equivalent to a cube, and a coffee cup to a donut.
		Geometric topology is the study of manifolds and their embeddings, with representative topics being knot theory and braid groups.
	www.math.neu.edu /research/topology.html (257 words)

	Topology - Wikipedia, the free encyclopedia
		Topology (Greek topos, place and logos, study) is a branch of mathematics concerned with spatial properties preserved under bicontinuous deformation (stretching without tearing or gluing); these are the topological invariants.
		Topology has sometimes been called rubber-sheet geometry, because it does not distinguish between a circle and a square (a circle made out of a rubber band can be stretched into a square) but does distinguish between a circle and a figure eight (you cannot stretch a figure eight into a circle without tearing).
		In pointless topology one considers instead the lattice of open sets as the basic notion of the theory, while Grothendieck topologies are certain structures defined on arbitrary categories which allow the definition of sheaves on those categories, and with that the definition of quite general cohomology theories.
	en.wikipedia.org /wiki/Topology (1776 words)

	People (Site not responding. Last check: 2007-10-14)
		Gregory Clark; Stable homotopy and homeomorphism of 4-manifolds.
		Shelly Harvey; Low-dimensional topology and geometry, group theory, and non-commutative algebra.
		John Hempel; Topology of manifolds and associated algebraic problems, primarily in group theory.
	math.rice.edu /People/low-dim.html (49 words)

	5.2.5 Topology
		The topology research at OSU is concentrated in the area of low dimensional manifolds.
		Perhaps the single most interesting problem in low dimensional topology is to determine to what extent group invariants characterize a manifold.
		Mark McConnell: The topology of locally symmetric spaces (a locally symmetric space is made from a semisimple Lie group G, or rather from its quotient G/K by a compact subgroup, by taking the quotient by a discrete subgroup of G).
	www.math.okstate.edu /grad/long-hbk/5_2_5Topology.html (498 words)

	Geometry and Topology Editors Interests (Site not responding. Last check: 2007-10-14)
		Low Dimensional Topology, Knot Theory, Hyperbolic Geometry, Foliation and Lamination Theory.
		Gauge theory, the geometry and topology of four-manifolds, K\"ahler geometry and the geometry of moduli spaces.
		Topology and (complex, symplectic and differential) geometry in four and fewer dimensions.
	www.maths.tcd.ie /EMIS/journals/UW/gt/gtedints.html (268 words)

	People Topology Math Science (Site not responding. Last check: 2007-10-14)
		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.
		With textbooks on Algebraic Topology, Vector Bundles and K-theory, and 3-manifolds.
		Topology and combinatorics: hyperplane arrangements, the topology and geometry of manifolds, the homology of discrete groups, the homotopy theory of high-dimensional knots.
	www.iaswww.com /ODP/Science/Math/Topology/People (410 words)

	Geometric topology - Wikipedia, the free encyclopedia
		In mathematics, geometric topology is the study of manifolds and their embeddings, with representative topics being knot theory and braid groups.
		In the rapid development of topology after 1945, a distinction was drawn between the fields of algebraic topology typified by homotopy theory, geometric topology with the Poincaré conjecture as its biggest unsolved problem, and differential topology as the study mostly of differential structures, with Morse theory and transversality as their natural techniques.
		Thurston's geometrization conjecture, formulated in the late 1970s, offered a framework that suggested geometry and topology were closely intertwined in low dimensions, and Thurston's proof of geometrization for Haken manifolds utilized a variety of tools from previously only weakly linked areas of mathematics.
	en.wikipedia.org /wiki/Geometric_topology (356 words)

	[No title]
		A Low Dimensional Topology Conference in Madeira, Portugal, January 11-17, 1998.
		A pre-ICM conference on Geometry and Topology at the University of Aarhus, Denmark, August 10-16, 1998.
		A conference on Low Dimensional Topology and Geometry, for undergraduates, at Rice Univeristy, November 20-22, 1998.
	www.math.unl.edu /~mbrittenham2/ldt/pastconf.html (4338 words)

	Geometry / Topology at Michigan State University
		Slava works in 4-dimensional topology and geometry.He is currently an Assistant Professor at the University of Virginia.
		His area of interest is the geometric topology of low-dimensional manifolds.
		His area of interest is stringy geometry and topology of orbifolds.
	www.mth.msu.edu /gt/Postdocs.htm (587 words)

	Geometry of Low-Dimensional Manifolds - Cambridge University Press (Site not responding. Last check: 2007-10-14)
		The workshop brought together a number of distinguished figures to give lecture courses and seminars in these subjects; the volume that has resulted is the only expository source for much of the material, and will be essential for all research workers in geometry and mathematical physics.
		On the topology of algebraic surfaces Robert E. Gompf; 3.
		The topology of algebraic surfaces with q=pg=0 Dieter Kotschick; 4.
	www.cambridge.org /catalogue/catalogue.asp?ISBN=0521400015 (433 words)

	Mathematics Education Faculty Position (Site not responding. Last check: 2007-10-14)
		Doug Bullock's interests are quantum topology, quantum algebra and representation theory, with particular emphasis on applications to knot theory and the topology of 3-manifolds.
		Uwe Kaiser's interests are the topology of manifolds, including embeddings, immersions and singularities of maps; in particular 3-dimensional topology: theory of knots and links, quantum topology; related homotopy theory and algebra (quantum groups, combinatorial group theory).
		The low dimensional topology group runs a weekly seminar on different topics reflecting the interests of the topologists at Boise State University.
	math.boisestate.edu /dept-stuff/topologygroup.html (120 words)

	Conference on Low-Dimensional Topology (Site not responding. Last check: 2007-10-14)
		The objective of the conference is to bring together researchers working on different aspects of low-dimensional topology, including Floer homology, the Ricci flow program, and more "classical" geometric topology, with the goal of looking for connections and unifying perspectives.
		A theme in several of these areas is that subtle relationships between a 4-manifold and its boundary constrain and illuminate both 3- and 4-dimensional topology.
		We propose this as a framework for comparing existing approaches and formulating key problems.
	www.math.virginia.edu /topology (95 words)

	Chronological list of videos (Site not responding. Last check: 2007-10-14)
		Butler--Introductory Workshop in Combinatorics and Low-dimensional Topology #01/20 960812-960823 Four dimensional Topology, V C.
		Gordon--Introductory Workshop in Combinatorics and Low-dimensional topology #18/20 960812-960823 Representation theory and symmetric functions, V B.
		Sagan Intoductory Workshop in Combinatorics and Low-dimensional Topology #15/20 960812-960823 Geometric Combinatorics, III L.
	www.msri.org /local/library/video_list.html (1717 words)

	Hopf algebras, quantization and low-dimensional topology (Site not responding. Last check: 2007-10-14)
		at the beginning of the nineties are at the origin of unexpected but extremely fruitful interactions between Hopf algebras, quantum groups and low-dimensional topology.
		During this meeting, we will study certain aspects of the spectacular results of these interactions, in particular, an intrinsic approach to quantum groups, Kazhdan-Etingof's biquantization theory and integrality properties in the theory of invariants in low-dimensional topology.
		In several talks, we will also touch on the new combinatorial theory of Hopf algebras, which has its origin in the works by Connes-Kreimer on renormalization.
	www.math.jussieu.fr /gdralgebre/hopf2004/indexe.html (174 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		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.
		Such areas might include gauge theory, smooth and topological structures on 4-manifolds, symplectic and contact topology, invariants of knots and 3-manifolds, 3-dimensional hyperbolic goemetry, and normal surface theory.
		We are also hoping to have a few talks of a historical nature, aimed at a broad audience, and reviewing the breakthroughs in the sixties and seventies which paved the way for the modern theory of manifolds.
	www.math.ufl.edu /math/conferences/kirby.fest (360 words)

	UR Math: Topology group
		Algebraic topology specifically problems related to homotopy groups of spheres, the Adams-Novikov spectral sequence, and its connections with number theory.
		Low-dimensional topology, mapping class groups, classical 3-manifold topology, bordism theory and knot theory.
		Homotopy theory, cohomology of groups, group actions on spaces and connections between group theory and algebraic topology.
	www.math.rochester.edu /research/topology (222 words)

	Low-Dimensional Topology -- from Wolfram MathWorld
		Low-dimensional topology usually deals with objects that are two-, three-, or four-dimensional in nature.
		This fact is particularly noticeable in dimensions three and four, and so alternative specialized methods have evolved.
		Low-Dimensional Topology: Proceedings of a Conference on Topology in Low Dimension, Bangor, 1979.
	mathworld.wolfram.com /Low-DimensionalTopology.html (128 words)

	Department of Mathematics - University of Georgia
		Clint McCrory, Professor, Ph.D. Brandeis University, 1972, topology of singularities, with applications to algebraic geometry and differential geometry.
		Nancy Wrinkle, VIGRE Postdoc, Ph.D. Columbia University, 2001, low dimensional topology, especially knot theory.
		If you are interested in graduate studies in topology, and you would like further information on our group, please contact any of us.
	www.math.uga.edu /math/research/topology.html (170 words)

	Clay Mathematics Institute
		The Clay Mathematics Institute announces its 2004 summer school, to be held at the Alfréd Rényi Institute of Mathematics in Budapest.
		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.
		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.
	www.claymath.org /programs/summer_school/2004 (337 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		Rob Kirby ========= email: kirby@math.berkeley.edu URL: http://math.berkeley.edu/~kirby/ Interests: Geometric and low dimensional topology, and, more particularly, the topology of 4-manifolds and topological quantum field theory.
		John Morgan =========== email: jm@math.columbia.edu Interests: Shigeyuki Morita ================ email: morita@ms.u-tokyo.ac.jp Interests: Low dimensional topology, mapping class groups of surfaces, moduli space of curves, diffeomorphism groups Tom Mrowka ========== email: mrowka@math.mit.edu Interests: Low dimensional topology, Geometric PDE's.
		Ron Stern ========= email: rstern@math.uci.edu Interests: Topology and (complex, symplectic and differential) geometry in four and fewer dimensions.
	www.maths.tcd.ie /EMIS/journals/UW/gt/ftp/info/editors.txt (465 words)

	CRM: Thematic Programme 2001-2002
		The Escher Fish (by Silvio Levy) is reproduced by courtesy of the Geometry Center of the University of Minnesota.
		The study of 3-manifolds through their fundamental groups and symmetries has turned out to be a particularly rich vein withapplications to such topics as the tabulation of knots, geometrization problems, group actions, and surgery theory.
		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.
	www.crm.umontreal.ca /act/theme/theme_2001-2002_an.html (1592 words)

	Mathematics 139 (Classical Geometry and Low-Dimensional Topology) Home Page
		A continuation of the study of spherical, Euclidean and especially hyperbolic geometry in two and three dimensions begun in Mathematics 138.
		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.
		Hatcher's notes on 3-manifold topology are available from his home page.
	www.its.caltech.edu /~dannyc/courses/139/139.html (471 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		An Introduction to New Invariants in Low-Dimensional Topology
		Some familiarity with linear algebra, group theory and basic topology.
		About the text: This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants.
	www.math.uconn.edu /~tollefso/math337 (355 words)

	Streaming Video 1993-1997 (Site not responding. Last check: 2007-10-14)
		Workshop on Computational and Algorithmic Methods in Three Dimensional Topology
		Z. Ma The log-Sobolev inequality on loop space over a compact Riemannian manifold (Slides for this talk are not presently available.)
		M. Sanz-Sole A two dimensional stochastic wave equation: Smoothness of the law
	www.msri.org /publications/video/index5.html (557 words)

	www.CompuTop.org
		If you know any other software that should be listed here, drop me a line.
		Linbox, a C++ library with GAP and Maple interfaces.
		Moise, a Maple topology package by Andrew Hicks.
	www.computop.org (835 words)

	Internet Archive: Details: Combinatorial Methods in Low-Dimensional Topology 2
		Internet Archive: Details: Combinatorial Methods in Low-Dimensional Topology 2
		Open Educational Resources (Beta) > MSRI Math Lectures > Combinatorial Methods in Low-Dimensional Topology 2
		Be the first to write a review Reviews
	www.archive.org /details/lecture11856 (32 words)

	IAS/Park City Mathematics Institute
		There will be plenty of time for questions and comments.
		The goal will be to discuss current research in Low Dimensional Topology and its applications, as well as open problems and new directions.
		Topics for workshops and working groups will be chosen at the beginning of the Summer Session by participants.
	www.admin.ias.edu /ma/current/program_research.php (407 words)

	Low Dimensional Topology Seminar (Site not responding. Last check: 2007-10-14)
		The aim of this seminar is to study basic 3-dimensional topology as covered in the book by J. Hempel `3-maifolds' Princeton Uni.Press (1976).
		Heegard Splitting, Connected Sums and existance and uniqueness of Prime Decomposition, Loop theorem and Sphere theorem, Incompressible surfaces, Kneser's Conjecture on free products, Subgroups of fundamental groups of 3-manioflds- finitely generated, finite, abelian etc., Seifert Fibrations, Sufficently Large 3-manifolds and Hierachies, some approaches to Poincaré conjecture.
		Relevant materials from PL., Differential, Algebraic topology, will be recalled briefly, as and when required, with appropriate references.
	www.math.iitb.ac.in /seminar/top.html (149 words)

	FLOER HOMOLOGY, GAUGE THEORY AND LOW DIMENSIONAL TOPOLOGY (Site not responding. Last check: 2007-10-14)
		The Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences will host a 3--week long Summer School sponsored by the Clay Mathematical Institute.
		The Summer School will be organized around a number of minicourse on knot theory, Heegaard Floer and Seiberg--Witten invariants, and contact and symplectic topology.
		For additional information click here or contact András Stipsicz by regular mail at the following address:
	www.renyi.hu /~lowdim (79 words)

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