Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The symplectic geometry of cotangent bundles from a categorical
  viewpoint   We describe various approaches to understanding Fukaya categories of
cotangent bundles. All of the approaches rely on introducing a suitable class
of noncompact Lagrangian submanifolds. We review the work of Nadler-Zaslow
(math/0604379, math/0612399) and the authors (math/0701783), before discussing
a new approach using family Floer cohomology and the ``wrapped Fukaya
category''. The latter, inspired by Viterbo's symplectic homology, emphasises
the connection to loop spaces, hence seems particularly suitable when trying to
extend the existing theory beyond the simply-connected case.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: eess
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph