Pseudocycles and Integral Homology
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homologyintegralpseudocyclesalgebraicapplicationsargumentsclassclasses
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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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