Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Link homology and equivariant gauge theory   The singular instanton Floer homology was defined by Kronheimer and Mrowka in
connection with their proof that the Khovanov homology is an unknot detector.
We study this theory for knots and two-component links using equivariant gauge
theory on their double branched covers. We show that the special generator in
the singular instanton Floer homology of a knot is graded by the knot signature
mod 4, thereby providing a purely topological way of fixing the absolute
grading in the theory. Our approach also results in explicit computations of
the generators and gradings of the singular instanton Floer chain complex for
several classes of knots with simple double branched covers, such as two-bridge
knots, torus knots, and Montesinos knots, as well as for several families of
two-components links.

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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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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: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: stat