Pseudocycles and Integral Homology
arXiv:math/0605535
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.
28 pages, 2 figures; a long technical construction has been simplified