Pseudocycles and integral homology

Aleksey Zinger

doi:10.1090/S0002-9947-07-04440-6

Pseudocycles and integral homology

Aleksey Zinger

Mathematics

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We describe a natural isomorphism between the set of equivalence classes of pseudocycles and the integral homology groups of a smooth manifold. Our arguments generalize to settings well-suited for applications in enumerative algebraic geometry and for construction of the virtual fundamental class in the Gromov-Witten theory.

Original language	English
Pages (from-to)	2741-2765
Number of pages	25
Journal	Transactions of the American Mathematical Society
Volume	360
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9947-07-04440-6
State	Published - May 2008

Keywords

Homology
Pseudocycles
Symplectic geometry

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10.1090/S0002-9947-07-04440-6

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KW - Pseudocycles

KW - Symplectic geometry

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Pseudocycles and integral homology

Abstract

Keywords

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