Published:
[Erscheinungsort nicht ermittelbar]: Banff International Research Station (BIRS) for Mathematical Innovation and Discovery, 2019
Published in:Flat Surfaces and Dynamics on Moduli Space, II (19w5078) ; (Jan. 2019)
Extent:
1 Online-Ressource (325 MB, 00:43:19:15)
Language:
English
DOI:
10.5446/56456
Identifier:
Origination:
Footnote:
Audiovisuelles Material
Description:
There is a natural forgetful map p from a stratum H of abelian differentials to the moduli space of Riemann surfaces that takes a pair (X,w) to X. What are the coarse properties of this map p? In particular, when is the image coarsely dense with respect to the Teichmuller metric on moduli space? We answer this question for all strata by showing that the projection is coarsely dense iff it is topologically dense. The proof uses a new compactification of strata due to Bainbridge-Chen-Gendron-Grushevsky-Moller. This is joint work with Jenya Sapir