Pseudocycles and Integral Homology

Details Pseudocycles and Integral Homology Pseudocycles and Integral Homology

2006-05-18

arxiv.org/abs/math/0605535v2

Mathematics

Algebraic Topology

28 pages, 2 figures; a long technical construction has been simplified

Scientific paper

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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