English

Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property

Algebraic Geometry 2008-03-08 v2 Algebraic Topology

Abstract

In this note we survey Hodge-theoretic formulae of Atiyah-Meyer type for genera and characteristic classes of complex algebraic varieties, and derive some new and interesting applications. We also present various extensions to the singular setting of the Chern-Hirzebruch-Serre signature formula.

Keywords

Cite

@article{arxiv.0707.0129,
  title  = {Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property},
  author = {Laurentiu G. Maxim and Joerg Schuermann},
  journal= {arXiv preprint arXiv:0707.0129},
  year   = {2008}
}

Comments

Revised version to be published in the Proceedings of the School and Workshop on the Geometry and Topology of Singularities (L^e Fest). Few typos corrected and some cosmetic changes