Curves intersecting in a circuit pattern

Abstract

We show that the cycle relation between Dehn twists about curves in a circuit detects whether the circuit bounds an embedded disc. This is done by determining the isomorphism type of the group generated by said Dehn twists for various surfaces.

15 pages, 11 figures. Version accepted for publication in TAIA

References in corpus (1)

• The Birman-Hilden theory

Cited by in corpus (2)

• Endomorphisms of Artin groups of type $B_n$
• On Positive Braids, Monodromy Groups and Framings