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October 2018 Self-intersections of curves on a surface and Bernoulli numbers
Shinji Fukuhara, Nariya Kawazumi, Yusuke Kuno
Osaka J. Math. 55(4): 761-768 (October 2018).

Abstract

We study an operation which measures self-intersections of curves on an oriented surface. It turns out that a certain computation on this topological operation is related to the Bernoulli numbers $B_m$, and our study yields a family of explicit formulas for $B_m$. As a special case, this family contains the celebrated formula for $B_m$ due to Kronecker.

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Shinji Fukuhara. Nariya Kawazumi. Yusuke Kuno. "Self-intersections of curves on a surface and Bernoulli numbers." Osaka J. Math. 55 (4) 761 - 768, October 2018.

Information

Published: October 2018
First available in Project Euclid: 10 October 2018

zbMATH: 06985311
MathSciNet: MR3862784

Subjects:
Primary: 11B68 , 57M99 , 57N05

Rights: Copyright © 2018 Osaka University and Osaka City University, Departments of Mathematics

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Vol.55 • No. 4 • October 2018
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