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Geometric Topology
Websites
Numerous links in the Geometry Junkyard.
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The Geometry Junkyard: Geometric Topology This area of mathematics is about the assignment of geometric structures to topological spaces, so that they look like geometric spaces. For instance, compact two dimensional surfaces can have a local geometry based on the sphere (the sphere itself, and...Preprints in geometric topology in the Arxiv.
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GT Geometric Topology Finite type invariants and Milnor invariants for Brunnian links. Kazuo Habiro, Jean-Baptiste Meilhan. 26 pages. GT. 26 Oct math.GT/0510532 Refined Analytic Torsion as an Element of the Determinant Line. Maxim Braverman, Thomas Kappeler. 52 pages. GT (DG MP 25 Oct...Section 57 in Dave Rusin's Mathematical Atlas.
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57: Manifolds and cell complexes 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...Article by John M. Sullivan on sphere eversions, with numerous illustrations.
http://www.math.uiuc.edu/~jms/Papers/isama/
Links to low-dimensional topology resources.
http://www.math.unl.edu/~mbritten/ldt/3mfld.html
The Topology of Crystallographic Groups and Simple Crystal Structures
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Crystallographic Topology Crystallographic Topology The Topology of Crystallographic Groupsand Simple Crystal Structures Carroll K. Johnson Michael N. Burnett Oak Ridge National Laboratory Australian Mirror Site UK Mirror Site Preprints and Presentations Crystallographic Topology 101 A Tutorial Virtual Course 1. Overview 2. Introduction...