Hyperbolic surfaces with long systoles that form a pants decomposition

Petri, Bram

doi:10.1090/proc/13806

Hyperbolic surfaces with long systoles that form a pants decomposition
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Proc. Amer. Math. Soc. 146 (2018), 1069-1081 Request permission

Abstract:

We present a construction of sequences of closed hyperbolic surfaces that have long systoles which form pants decompositions of these surfaces. The length of the systoles of these surfaces grows logarithmically as a function of their genus.

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