Aleksey Zinger
Published 2006-05-18, updated 2006-10-05Version 2
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.
Comments: 28 pages, 2 figures; a long technical construction has been simplified
Integral homology groups of double coverings and rank one $\mathbb{Z}$-local system for minimal CW complex
The Homology Groups of a Partial Trace Monoid Action
Homotopy classification of gerbes
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