Independent Studies in Low Dimensional Topology — ILT

  • Instructor:
    Andras Stipsicz
    Contact: stipsicz at renyi dot hu
  • Prerequisites: Singular and simplicial homology and cohomology theory Bundles, vector bundles and their characteristic classes Basics of knot theory, the Alexander polynomial.
  • Text:

Course description: The aim of the course if to go through the basic notions and constructions which lead to the definition and applications of Heegaard Floer homology.

Topics:

  • Heegaard decompositions and Heegaard diagrams of three-manifolds
  • Morse homology
  • Basics of symplectic topology
  • Lagrangian Floer homology
  • The definition of Heegaard Floer homologies
  • Knots and Heegaard diagrams
  • Knot Floer homology
  • Basic properties of the Heegaard Floer package

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