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Topics in Differential Topology: Symplectic Methods in Low-dimensional Topology

MAT 566

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Heegaard Floer homology is an invariant for low-dimensional manifolds constructed using methods in symplectic geometry (Lagrangian Floer homology). A related invariant for knots can also be constructed, whose Euler characteristic, in a suitable sense, is the Alexander polynomial of that knot. This course gives the construction of Heegaard Floer homology and the knot invariant, and with a view towards topological applications, and a special emphasis on modern computational tools.
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Section C01

  • Type: Class
  • Section: C01
  • Status: O
  • Enrollment: 0
  • Capacity: 20
  • Class Number: 22444
  • Schedule: TTh 11:00 AM-12:20 PM