Combinatorial Floer Homology

Released on by Vin de Silva
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  • Combinatorial Floer Homology Book Detail

  • Author : Vin de Silva
  • Release Date : 2014-06-05
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 126
  • ISBN 13 : 0821898868
  • File Size : 28,28 MB
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Combinatorial Floer Homology by Vin de Silva PDF Summary

Book Description: The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented -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 -manifold.

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Combinatorial Floer Homology

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The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented -manifold without boundary, pr