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Pseudocycles and integral homology
Author(s):
Aleksey
Zinger
Journal:
Trans. Amer. Math. Soc.
360
(2008),
2741-2765.
MSC (2000):
Primary 55N99, 57R95
Posted:
December 20, 2007
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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
Email:
azinger@math.sunysb.edu
DOI:
10.1090/S0002-9947-07-04440-6
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
Posted:
December 20, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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