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Matematicheskie Zametki, 2018, Volume 103, Issue 2, Pages 236–247
DOI: https://doi.org/10.4213/mzm11423 (Mi mzm11423) 		 
Hirzebruch Functional Equations and Krichever Complex Genera

I. V. Netayab

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
b National Research University "Higher School of Economics" (HSE), Moscow
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DOI: https://doi.org/10.4213/mzm11423
Abstract: As is well known, the two-parameter Todd genus and the elliptic functions of level $d$ define $n$-multiplicative Hirzebruch genera if $d$ divides $n+ 1$. Both cases are special cases of the Krichever genera defined by the Baker–Akhiezer function. In the present paper, the inverse problem is solved. Namely, it is proved that only these properties define $n$-multiplicative Hirzebruch genera among all Krichever genera for all $n$.
Keywords: Hirzebruch genus, elliptic function, functional equation.
Funding agency Grant number
Russian Science Foundation 14-50-00150
This work was supported by the Russian Science Foundation under grant 14-50-00150, RSF IPPI.
Received: 21.10.2016
Revised: 14.04.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 2, Pages 232–242
DOI: https://doi.org/10.1134/S0001434618010248
Bibliographic databases:
Document Type: Article
UDC: 515.14
Language: Russian
Citation: I. V. Netay, “Hirzebruch Functional Equations and Krichever Complex Genera”, Mat. Zametki, 103:2 (2018), 236–247; Math. Notes, 103:2 (2018), 232–242
Citation in format AMSBIB
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