Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concordance homomorphisms from knot Floer homology   We modify the construction of knot Floer homology to produce a one-parameter
family of homologies for knots in the three-sphere. These invariants can be
used to give homomorphisms from the smooth concordance group to the integers,
giving bounds on the four-ball genus and the concordance genus of knots. We
give some applications of these homomorphisms.

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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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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: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex