Todd polynomials and Hirzebruch numbers
Algebraic Topology
2024-11-01 v4
Abstract
In 1956 Hirzebruch found an explicit formula for the denominators of the Todd polynomials, which was proved later in his joint work with Atiyah. We present a new formula for the Todd polynomials in terms of the ``forgotten symmetric functions", which follows from our previous work on complex cobordisms. In particular, this leads to a simpler proof of the Hirzebruch formula and provides new interpretations for the Hirzebruch numbers.
Keywords
Cite
@article{arxiv.2310.07383,
title = {Todd polynomials and Hirzebruch numbers},
author = {Victor M. Buchstaber and Alexander P. Veselov},
journal= {arXiv preprint arXiv:2310.07383},
year = {2024}
}
Comments
Slightly revised version, published in the Proceedings of the Steklov Institute of Mathematics, 2024, Vol. 325