We're sorry but this page doesn't work properly without JavaScript enabled. Please enable it to continue.
Feedback

If an orbit closure is big enough then it's trivial.

1
 Cite
 Share
 Related Material
 Download
 Purchase
No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Apisa, Paul

Formal Metadata

Title
If an orbit closure is big enough then it's trivial.
Title of Series
Number of Parts
12
Author
License
CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Identifiers
Publisher
Release Date
Language

Content Metadata

Subject Area
Genre
Abstract
We will begin by defining the rank of an affine invariant submanifold in a stratum of abelian differentials on genus g surfaces. We will end by showing that if the rank is at least g/2 + 1 then the affine invariant submanifold is either the full component of the stratum containing it or a holonomy double cover of a component of a stratum of quadratic differentials. This is joint work with Alex Wright.