Combinatorial Floer Homology (Memoirs of the American Mathematical Society) by Vin De Silva (PDF)

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Ebook Info

  • Published: 2014
  • Number of pages: 114 pages
  • Format: PDF
  • File Size: 0.80 MB
  • Authors: Vin De Silva

Description

The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented 2-manifold without boundary, prove that it is invariant under isotopy, and prove that it is isomorphic to the original Lagrangian Floer homology. Their proof uses a formula for the Viterbo-Maslov index for a smooth lune in a 2-manifold.

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