A shorter note on shorter pants

Hugo Parlier

A shorter note on shorter pants

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arxiv 2304.06973 v1 pith:AZZVCCW6 submitted 2023-04-14 math.GT math.DG

Hugo Parlier This is my paper · ORCID

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keywords surfacesnotepantsshorterbersbestboundboundary

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This note is about variations on a theorem of Bers about short pants decompositions of surfaces. It contains a version for surfaces with boundary but also a slight improvement on the best known bound for closed surfaces.

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Volumes of end-periodic mapping tori
math.GT 2025-08 accept novelty 2.0 of 10

An expository paper presenting theorems that bound volumes of end-periodic mapping tori by pants-graph translation length, an infinite-type analogue of Brock's theorem.

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