Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cylinder deformations in orbit closures of translation surfaces   Let M be a translation surface. We show that certain deformations of M
supported on the set of all cylinders in a given direction remain in the
GL(2,R)-orbit closure of M. Applications are given concerning complete
periodicity, field of definition, and the number of of parallel cylinders which
may be found on a translation surface in a given orbit closure.
  The proof uses Eskin-Mirzakhani-Mohammadi's recent theorem on orbit closures
of translation surfaces, as well as results of Minsky-Weiss and Smillie-Weiss
on the dynamics of horocycle flow.

25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex