Instantons and odd Khovanov homology
By Christopher Scaduto. 2014
70 citations recorded by the source corpus.
We construct a spectral sequence from the reduced odd Khovanov homology of a link converging to the framed instanton homology of the double cover branched over the link, with orientation reversed. Framed instanton homology counts certain instantons on the cylinder of a 3‐manifold connect‐summed with a 3‐torus. En route, we provide a new proof of Floer's surgery exact triangle for instanton homology using metric stretching maps, and generalize the exact triangle to a link surgeries spectral sequence. Finally, we relate framed instanton homology to Floer's instanton homology for admissible bundles.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3023b909a7a2eacef0cb598fb3505d0ad276f36a
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Khovanov homology detects the trefoils (2018, methodology): “rom [KM10b], though we include proofs of some propositions and lemmas which are familiar to experts but do not appear explicitly elsewhere. Our description of the surgery exact triangle is taken from [Sca15]. Let (Y,α) be an admissible pair; that is, a closed, oriented 3-manifold Y and a closed, ori”