Todd polynomials and Hirzebruch numbers

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 co...

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Buchstaber, Victor M, Veselov, Alexander P
Format: Article
Language:English
Subjects:
Mathematical analysis
Polynomials
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2310.07383