Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Khovanov homology from Floer cohomology   This paper realises the Khovanov homology of a link in the 3-sphere as a
Lagrangian Floer cohomology group, establishing a conjecture of Seidel and the
second author. The starting point is the previously established formality
theorem for the symplectic arc algebra over a field k of characteristic zero.
Here we prove the symplectic cup and cap bimodules which relate different
symplectic arc algebras are themselves formal over k, and construct a long
exact triangle for symplectic Khovanov cohomology. We then prove the symplectic
and combinatorial arc algebras are isomorphic over the integers in a manner
compatible with the cup bimodules. It follows that Khovanov homology and
symplectic Khovanov cohomology co-incide in characteristic zero.

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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int