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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格式 PDF ● 网页 114 ● ISBN 9781470416706 ● 出版者 American Mathematical Society ● 下载 3 时 ● 货币 EUR ● ID 6613719 ● 复制保护 Adobe DRM
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