Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homology and dynamics in quasi-isometric rigidity of once-punctured
  mapping class groups   In these lecture notes, we combine recent homological methods of Kevin Whyte
with older dynamical methods developed by Benson Farb and myself, to obtain a
new quasi-isometric rigidity theorem for the mapping class group MCG(S) of a
once punctured surface S of genus at least 2: if K is a finitely generated
group quasi-isometric to MCG(S) then there is a homomorphism K -> MCG(S) with
finite kernel and finite index image. This theorem is joint with Kevin Whyte.

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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph