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Vin de Silva 
Combinatorial Floer Homology [PDF ebook] 

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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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Format PDF ● Pages 114 ● ISBN 9781470416706 ● Maison d’édition American Mathematical Society ● Téléchargeable 3 fois ● Devise EUR ● ID 6613719 ● Protection contre la copie Adobe DRM
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