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topics on low dimensional topology


List of topic on low dimensional topology that should be here at PM

1 Manifolds in general

2 1-manifolds

3 2-manifolds

4 3-manifolds

  • 3 Euclidean three-space

  • S3 three sphere, SO(3), SU(2)

  • surface bundle

  • circle bundleMathworldPlanetmath, lens space, Seifert fiber space (http://planetmath.org/SeifertFiberSpace)

  • Dehn’s lemma, loop theorem, sphere theorem

  • annulusMathworldPlanetmath and torus theorems

5 4-manifolds

  • Donalson’s theory

  • quaternions

  • relativity, space-time

  • surface bundles over surfaces

  • spin structures

  • there are homeomorphic four-manifolds with differentiable structures each, which make them non-diffeomorphic.

  • gauge theory: monopoles

  • intersection form

  • geometrization

6 Mathematical physics

Title topics on low dimensional topology
Canonical name TopicsOnLowDimensionalTopology
Date of creation 2013-03-22 16:01:46
Last modified on 2013-03-22 16:01:46
Owner juanman (12619)
Last modified by juanman (12619)
Numerical id 14
Author juanman (12619)
Entry type Topic
Classification msc 57M99
Classification msc 57-00
Related topic TopologyMathworldPlanetmath