Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 55, Number 4 (2018), 761-768.
Self-intersections of curves on a surface and Bernoulli numbers
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.
Osaka J. Math., Volume 55, Number 4 (2018), 761-768.
First available in Project Euclid: 10 October 2018
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Fukuhara, Shinji; Kawazumi, Nariya; Kuno, Yusuke. Self-intersections of curves on a surface and Bernoulli numbers. Osaka J. Math. 55 (2018), no. 4, 761--768. https://projecteuclid.org/euclid.ojm/1539158670