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math.GT2026
Systole Increasing Deformations to Maximal Translation Surfaces
Achintya Dey, Bidyut Sanki
A unit-area translation surface is called \emph{maximal} if it maximizes the length of the shortest saddle connection among all surfaces in the same stratum. We investigate whether…
math.GT2026
Minimal Filling pair of non orientable surfaces
Debattam Das, Souvik Pal, Bidyut Sanki
For , let denote the non-orientable surface of genus . In this article, we establish the existence of filling pairs on that intersect minimally by constructi…
math.GT2026
Length minimization of filling pairs on hyperbolic surfaces
Ni An, Bhola Nath Saha, Bidyut Sanki
A filling pair of a surface is a pair of simple closed curves in minimal position such that the complement of in is a disjoint union of topological di…