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math.GT2015★ 6 cited
Filling of closed Surfaces
Bidyut Sanki
Let denote a closed oriented surface of genus . A set of simple closed curves is called a filling of if its complement is a disjoint union of discs. The mapping clas…
math.GT2015
Graphs of Systoles on hyperbolic surfaces
Bidyut Sanki, Siddhartha Gadgil
Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on the surface, in fact a so-called fat graph, which we call the systolic graph. We…