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Combinatorial Floer Homology

By: Vin de Silva (Author) , Joel W. Robbin (Author) , Dietmar A. Salamon (Author)

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Ksh 18,900.00

Format: Paperback or Softback

ISBN-13: 9780821898864

Publisher: American Mathematical Society

Publication Date: Jun 30th, 2014

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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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