Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the boundary of Teichmueller disks in Teichmueller and in Schottky
  space   We study the boundary of Teichmueller disks in a partial compactification of
Teichmueller space, and their image in Schottky space. We give a broad
introduction to Teichmueller disks and explain the relation between
Teichmueller curves and Veech groups. Furthermore, we describe Braungardt's
construction of this partial compactification and compare it with the Abikoff
augmented Teichmueller space. Following Masur, we give a description of Strebel
rays that makes it easy to understand their end points on the boundary. This
prepares the description of boundary points that a Teichmueller disk has, with
a particular emphasis to the case that it leads to a Teichmueller curve.
Further on we turn to Schottky space and describe two different approaches to
obtain a partial compactification. We give an overview how the boundaries of
Schottky space, Teichmueller space and moduli space match together and how the
actions of the diverse groups on them are linked. Finally we consider the image
of Teichmueller disks in Schottky space and show that one can choose the
projection from Teichmueller space to Schottky space in such a manner that the
image of the Teichmueller disk is a quotient by an infinite group.

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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph