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Complexity in Bolza surface by Saha, Bhola Nath; Sanki, Bidyut is a scholarly article available to read on EtoBox.

What is Complexity in Bolza surface about?

A surface in the Teichm\"uller space, where the systole function attains its maximum, is called a maximal surface. For genus two there exists a unique maximal surface which is called the Bolza surface. In this article, we study the complexity of the set of systolic geodesics on the Bolza surface. We show that any non-systolic geodesic intersects the systolic geodesics in $2n$ points, where $n\geq 5$. Furthermore, we show that there are $12$ second systolic geodesics on the Bolza surface and they form a triangulation of the surface.

Author

Saha, Bhola Nath; Sanki, Bidyut

Published

2023

Language

EN