A Poincar\'e-Hopf type formula for Chern character numbers
Geometric Topology
2010-06-14 v2 Differential Geometry
Abstract
For two complex vector bundles admitting a homomorphism with isolated singularities between them, we establish a Poincar\'e-Hopf type formula for the difference of the Chern character numbers of these two vector bundles. As a consequence, we extend the original Poincar\'e-Hopf index formula to the case of complex vector fields (to appear in Mathematische Zeitschrift)
Keywords
Cite
@article{arxiv.0908.3335,
title = {A Poincar\'e-Hopf type formula for Chern character numbers},
author = {Huitao Feng and Weiping Li and Weiping Zhang},
journal= {arXiv preprint arXiv:0908.3335},
year = {2010}
}
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10 pages