English

Hirzebruch L-polynomials and multiple zeta values

Algebraic Topology 2017-08-21 v1 Geometric Topology Number Theory

Abstract

We express the coefficients of the Hirzebruch L-polynomials in terms of certain alternating multiple zeta values. In particular, we show that every monomial in the Pontryagin classes appears with a non-zero coefficient, with the expected sign. Similar results hold for the polynomials associated to the A-hat genus.

Keywords

Cite

@article{arxiv.1708.05547,
  title  = {Hirzebruch L-polynomials and multiple zeta values},
  author = {Alexander Berglund and Jonas Bergström},
  journal= {arXiv preprint arXiv:1708.05547},
  year   = {2017}
}

Comments

9 pages

R2 v1 2026-06-22T21:17:48.983Z