Corpus ID: 211066210

Framed mapping class groups and the monodromy of strata of Abelian differentials

@article{Caldern2020FramedMC,
  title={Framed mapping class groups and the monodromy of strata of Abelian differentials},
  author={A. Calder{\'o}n and Nick Salter},
  journal={arXiv: Geometric Topology},
  year={2020}
}
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… Expand
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