English

Graph cohomology and Kontsevich cycles

Algebraic Topology 2007-05-23 v1 High Energy Physics - Theory

Abstract

The dual Kontsevich cycles in the double dual of associative graph homology correspond to polynomials in the Miller-Morita-Mumford classes in the integral cohomology of mapping class groups. I explain how the coefficients of these polynomials can be computed using Stasheff polyhedra and results from my previous paper GT/0207042.

Keywords

Cite

@article{arxiv.math/0303157,
  title  = {Graph cohomology and Kontsevich cycles},
  author = {Kiyoshi Igusa},
  journal= {arXiv preprint arXiv:math/0303157},
  year   = {2007}
}

Comments

36 pages, 3 figures

R2 v1 2026-07-22T16:52:42.670Z