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On stable commutator length of non-filling curves in surfaces

Published 28 Dec 2022 in math.GT and math.GR | (2212.14086v2)

Abstract: We give a new proof of rationality of stable commutator length (scl) of certain elements in surface groups: those represented by curves that do not fill the surface. Such elements always admit extremal surfaces for scl. These results also hold more generally for non-filling 1-chains.

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Authors (2)

  1. Max Forester 
  2. Justin Malestein 

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