Pseudocycles and Integral Homology
Aleksey Zinger
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.
Create a lesson
Related papers
Koszul duality and Morita categories
Max Blans
Persistence Meets Resistance: Doubling Down on Hardness
Benedikt Kolbe, Tim Mayr
On orientability, Poincaré duality, and connectivity of GKM graphs
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
Local Bousfield classes via homological support
Tobias Barthel, Natalia Castellana, Drew Heard et al.
Coordinate-Deletion Bundles from Composition Algebras: Hopf Defects, KO-Classes, and Real Projective Space
Marina Palaisti
The product rule in Goodwillie calculus
Max Blans, Thomas Blom