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- Title
Framed mapping class groups and the monodromy of strata of abelian differentials.
- Authors
Calderon, Aaron; Salter, Nick
- Abstract
This paper investigates the relationship between strata of abelian differentials and various mapping class groups afforded by means of the topological monodromy representation. Building off of prior work of the authors, we show that the fundamental group of a stratum surjects onto the subgroup of the mapping class group which preserves a fixed framing of the underlying Riemann surface, thereby giving a complete characterization of the monodromy group. In the course of our proof we also show that these “framed mapping class groups” are finitely generated (even though they are of infinite index) and give explicit generating sets.
- Subjects
ABELIAN groups; MATHEMATICS; RIEMANN surfaces; MONODROMY groups; GROUP theory
- Publication
Journal of the European Mathematical Society (EMS Publishing), 2023, Vol 25, Issue 12, p4719
- ISSN
1435-9855
- Publication type
Article
- DOI
10.4171/JEMS/1290