English

A discrete Lefschetz formula

Number Theory 2007-05-23 v3

Abstract

A Lefschetz formula is given that relates loops in a regular finite graph to traces of a certain representation. As an application the poles of the Ihara/Bass zeta function are expressed as dimensions of global section spaces of locally constant sheaves.

Keywords

Cite

@article{arxiv.math/0304138,
  title  = {A discrete Lefschetz formula},
  author = {Anton Deitmar},
  journal= {arXiv preprint arXiv:math/0304138},
  year   = {2007}
}

Comments

LaTex, 35 pages