TY - ELEC
AU - Paul Apisa
PY - 2019
TI - If an orbit closure is big enough then it's trivial.
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0385845
ER - End of Reference