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Pseudocycles and Integral Homology

Aleksey Zinger
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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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Aleksey Zinger. 2006-10-05. Pseudocycles and Integral Homology. https://arxiv.org/abs/math/0605535

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