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arXiv · 1610.04654

Hirzebruch functional equations and complex Krichever genera

I. V. Netay
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Abstract

It is well known that the two-parametric Todd genus and elliptic functions of level $d$ define $n$-multiplicative Hirzebruch genera, if $d$ divides $n+1$. Both these cases are particular cases of Krichever genera defined by the Baker--Akhiezer functions. In this work the inverse problem is solved. Namely, it is proved that only these families of functions define $n$-multiplicative Hirzebruch genera among all the Krichever genera for all $n$.

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I. V. Netay. 2016-10-14. Hirzebruch functional equations and complex Krichever genera. https://doi.org/10.4213/mzm11423

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