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math.DG2023
Complexity in Bolza surface
Bhola Nath Saha, Bidyut Sanki
A surface in the Teichmüller 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…
math.GT2023
Filling with separating curves
Bhola Nath Saha, Bidyut Sanki
A pair of simple closed curves on a closed and orientable surface of genus is called a filling pair if the complement is a disjoint union of topological disks. I…