Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instantons and Annular Khovanov Homology   In this paper, we introduce the annular instanton Floer homology which is
defined for links in a thickened annulus. It is an analogue of the annular
Khovanov homology. A spectral sequence whose second page is the annular
Khovanov homology and which converges to the annular instanton Floer homology
is constructed. As an application of this spectral sequence, we prove that the
annular Khovanov homology detects the unlink in the thickened annulus (assuming
all the components are null-homologous). Another application is a new proof of
Grigsby and Ni's result that tangle Khovanov homology distinguishes braids from
other tangles.

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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph