Todd Polynomials and Hirzebruch Numbers

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2024年6月1日

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V. M. Buchstaber,
A. P. Veselov

摘要

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.