Email this article Hirzebruch Functional Equations and Krichever Complex Genera
- Authors: Netai I.V.1,2
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Affiliations:
- Institute of Information Transmission Problems
- National Research University Higher School of Economics
- Issue: Vol 103, No 1-2 (2018)
- Pages: 232-242
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/150592
- DOI: https://doi.org/10.1134/S0001434618010248
- ID: 150592
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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.
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About the authors
I. V. Netai
Institute of Information Transmission Problems; National Research University Higher School of Economics
Author for correspondence.
Email: netay@iitp.ru
Russian Federation, Moscow; Moscow
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