Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graph cobordisms and Heegaard Floer homology   We construct a graph TQFT for the minus flavor of Heegaard Floer homology.
Our graph TQFT extends Ozsv\'{a}th and Szab\'{o}'s TQFT for closed and
connected 3-manifolds, and allows for cobordisms with disconnected ends. As an
application, we give an explicit formula for the chain homotopy type of the
$\pi_1$-action on Heegaard Floer homology. We show that on homology the
$\pi_1$-action is trivial on the plus, minus and infinity flavors, but give
examples where it is non-trivial on the hat flavor.

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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph