L\^e Modules and Traces
Algebraic Geometry
2007-05-23 v2
Abstract
We show how some of our recent results clarify the relationship between the L\^e numbers and the cohomology of the Milnor fiber of a non-isolated hypersurface singularity. The L\^e numbers are actually the ranks of the free Abelian groups -- the L\^e modules -- appearing in a complex whose cohomology is that of the Milnor fiber. Moreover, the Milnor monodromy acts on the L\^e module complex, and we describe the traces of these monodromy actions in terms of the topology of the critical locus.
Cite
@article{arxiv.math/0410258,
title = {L\^e Modules and Traces},
author = {David B. Massey},
journal= {arXiv preprint arXiv:math/0410258},
year = {2007}
}
Comments
12 pages, to appear in Proc. AMS