Polar Homology
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Geometric Topology
Abstract
For complex projective manifolds we introduce polar homology groups, which are holomorphic analogues of the homology groups in topology. The polar k-chains are subvarieties of complex dimension k with meromorphic forms on them, while the boundary operator is defined by taking the polar divisor and the Poincare residue on it.
Cite
@article{arxiv.math/0009015,
title = {Polar Homology},
author = {Boris Khesin and Alexei Rosly},
journal= {arXiv preprint arXiv:math/0009015},
year = {2007}
}
Comments
19 pages