Contact homology and virtual fundamental cycles

By J. Pardon. Journal of The American Mathematical Society, 2015

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We give a construction of contact homology in the sense of Eliashberg–Givental–Hofer. Specifically, we construct coherent virtual fundamental cycles on the relevant compactified moduli spaces of pseudo-holomorphic curves.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/63150714204d84054b87e469dcbfa1d4809a27f4