Pseudocycles and Integral Homology
Algebraic Topology
2007-05-23 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.math/0605535,
title = {Pseudocycles and Integral Homology},
author = {Aleksey Zinger},
journal= {arXiv preprint arXiv:math/0605535},
year = {2007}
}
Comments
28 pages, 2 figures; a long technical construction has been simplified