On rigid Hirzebruch genera
Algebraic Topology
2011-04-19 v4 Combinatorics
Abstract
The classical multiplicative (Hirzebruch) genera of manifolds have the wonderful property which is called rigidity. Rigidity of a genus h means that if a compact connected Lie group G acts on a manifold X, then the equivariant genus h^G(X) is independent on G, i.e. h^G(X)=h(X). In this paper we are considering the rigidity problem for complex manifolds. In particular, we are proving that a genus is rigid if and only if it is a generalized Todd genus.
Cite
@article{arxiv.0809.3063,
title = {On rigid Hirzebruch genera},
author = {Oleg R. Musin},
journal= {arXiv preprint arXiv:0809.3063},
year = {2011}
}
Comments
10 pages