Twisted Lefschetz numbers of infra-solvmanifolds and algebraic groups
Algebraic Topology
2019-11-12 v3 Algebraic Geometry
Group Theory
Abstract
Twisted Lefschetz numbers are extensions of the ordinary Lefschetz numbers for cohomologies with values in flat bundles. As a generalization of linearization formula for the ordinary Lefschetz number of a self-map of a nilmanifold, we show that a twisted Lefschetz number of any self-map of any infra-solvmanifold is equal to the determinant for some matrix by using the cohomology of algebraic groups.
Keywords
Cite
@article{arxiv.1404.7690,
title = {Twisted Lefschetz numbers of infra-solvmanifolds and algebraic groups},
author = {Hisashi Kasuya},
journal= {arXiv preprint arXiv:1404.7690},
year = {2019}
}
Comments
8 pages J. algebra to appear