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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Pseudocycles and integral homology

Author: Aleksey Zinger
Journal: Trans. Amer. Math. Soc. 360 (2008), 2741-2765
MSC (2000): Primary 55N99, 57R95
Published electronically: December 20, 2007
MathSciNet review: 2373332
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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.

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Additional Information

Aleksey Zinger
Affiliation: Department of Mathematics, SUNY, Stony Brook, New York 11790-3651

PII: S 0002-9947(07)04440-6
Keywords: Pseudocycles, homology, symplectic geometry
Received by editor(s): May 19, 2006
Received by editor(s) in revised form: October 5, 2006
Published electronically: December 20, 2007
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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