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arXiv · 2310.07383

Todd polynomials and Hirzebruch numbers

Victor M. Buchstaber·Alexander P. Veselov
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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.

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Victor M. Buchstaber, Alexander P. Veselov. 2023-10-11. Todd polynomials and Hirzebruch numbers. https://doi.org/10.1134/s0081543824020044

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