Todd Polynomials and Hirzebruch Numbers

V. M. Buchstaber ; A. P. Veselov

Informatics and Automation, Geometry, Topology, and Mathematical Physics, Tome 325 (2024), pp. 81-92

Résumé

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.

Détail

Keywords: Todd polynomials, Hirzebruch numbers, symmetric functions.

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