Girish Mahajan (Editor)

List of geometric topology topics

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This is a list of geometric topology topics, by Wikipedia page. See also:

Contents

  • topology glossary
  • List of topology topics
  • List of general topology topics
  • List of algebraic topology topics
  • Publications in topology

    • Knot theory

    See also List of mathematical knots and links

  • Knot (mathematics)
  • Link (knot theory)
  • Wild knots
  • Examples of knots
  • Unknot
  • Trefoil knot
  • Figure-eight knot (mathematics)
  • Borromean rings
  • Types of knots
  • Torus knot
  • Prime knot
  • Alternating knot
  • Hyperbolic link
  • Knot invariants
  • Crossing number
  • Linking number
  • Skein relation
  • Knot polynomials
  • Alexander polynomial
  • Jones polynomial
  • Knot group
  • Writhe
  • Quandle
  • Seifert surface
  • Braids
  • Braid theory
  • Braid group
  • Kirby calculus

    • Surfaces

  • Genus (mathematics)
  • Examples
  • Positive Euler characteristic
  • 2-disk
  • Sphere
  • Real projective plane
  • Zero Euler characteristic
  • Annulus
  • Möbius strip
  • Torus
  • Klein bottle
  • Negative Euler characteristic
  • The boundary of the pretzel is a genus three surface
  • Embedded/Immersed in Euclidean space
  • Cross-cap
  • Boy's surface
  • Roman surface
  • Steiner surface
  • Alexander horned sphere
  • Klein bottle
  • Mapping class group
  • Dehn twist
  • Nielsen–Thurston classification

    • Three-manifolds

  • Moise's Theorem (see also Hauptvermutung)
  • Poincaré conjecture
  • Thurston elliptization conjecture
  • Thurston's geometrization conjecture
  • Hyperbolic 3-manifolds
  • Spherical 3-manifolds
  • Euclidean 3-manifolds, Bieberbach Theorem, Flat manifolds, Crystallographic groups
  • Seifert fiber space
  • Heegaard splitting
  • Waldhausen conjecture
  • Compression body
  • Handlebody
  • Incompressible surface
  • Dehn's lemma
  • Loop theorem (aka the Disk theorem)
  • Sphere theorem
  • Haken manifold
  • JSJ decomposition
  • Branched surface
  • Lamination
  • Examples
  • 3-sphere
  • Torus bundles
  • Surface bundles over the circle
  • Graph manifolds
  • Knot complements
  • Whitehead manifold
  • Invariants
  • Fundamental group
  • Heegaard genus
  • tri-genus
  • Analytic torsion

    • Manifolds in general

  • Orientable manifold
  • Connected sum
  • Jordan-Schönflies theorem
  • Signature (topology)
  • Handle decomposition
  • Handlebody
  • h-cobordism theorem
  • s-cobordism theorem
  • Manifold decomposition
  • Hilbert-Smith conjecture
  • Mapping class group
  • Orbifolds
  • Examples
  • Exotic sphere
  • Homology sphere
  • Lens space
  • I-bundle

    • References

    List of geometric topology topics Wikipedia
    (Text) CC BY-SA


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