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Journal of the American Mathematical Society

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Contact homology and virtual fundamental cycles


Author: John Pardon
Journal: J. Amer. Math. Soc. 32 (2019), 825-919
MSC (2010): Primary 53D35, 53D40, 57R17, 53D42
DOI: https://doi.org/10.1090/jams/924
Published electronically: April 18, 2019
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Abstract: 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.


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Additional Information

John Pardon
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544

DOI: https://doi.org/10.1090/jams/924
Received by editor(s): October 29, 2015
Received by editor(s) in revised form: October 26, 2017, January 21, 2019, and February 4, 2019
Published electronically: April 18, 2019
Additional Notes: This research was partially conducted during the period the author served as a Clay Research Fellow. The author was also partially supported by a National Science Foundation Graduate Research Fellowship under grant number DGE–1147470.
Article copyright: © Copyright 2019 American Mathematical Society