RAAGs generated by Dehn twists with uniform intersection number

Donggyun Seo (Seoul National U)

Jul 17. 2023, 14:00 — 14:40

 

Right-angled Artin subgroups of mapping class groups of finite-type orientable surfaces have been studied from diverse perspectives. The discovery of these subgroups implies, indirectly, certain constraints on the existence of other subgroups. This talk aims to demonstrate that small powers of Dehn twists generate a right-angled Artin group when their associated simple closed curves exhibit intersection number 0 and N where N is uniformly given.

Further Information
Venue:
ESI Schrödinger and Boltzmann Lecture Hall
Associated Event:
Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics (Workshop)
Organizer(s):
Christopher Cashen (U of Vienna)
Javier de la Nuez González (KIAS, Seoul)
Alexandra Edletzberger (U of Vienna)
Yash Lodha (U of Hawaii, Honolulu)