A spectral sequence for Khovanov homology with an application to (3,q)–torus links
By P. Turner. 2006
52 citations recorded by the source corpus.
A spectral sequence converging to Khovanov homology is constructed which is applied to calculate the rational Khovanov homology of (3,q)-torus links.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b0050b90a5b16dcdf9fe8fea507d8474b26fd0ea
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
- Abhijit Champanerkar
- Ilya Kofman
- J. Bloom
- Neal W. Stoltzfus
- John A. Baldwin
- J. Greene
- Lawrence P. Roberts
- Christopher Scaduto
In Mathematical Physics
- Ilya Kofman
- Abhijit Champanerkar
- J. Bloom
- Neal W. Stoltzfus
- John A. Baldwin
- Lawrence P. Roberts
- Christopher Scaduto
Citations in the corpus
- A link surgery spectral sequence in monopole Floer homology (2009, background): “Consider the family of torus knots of the form {T (3, 6n± 1) |n ≥ 1}, For this family, the free part of the unreduced Khovanov homology takes the form of repeating blocks, and is stable, up to a shift in quantum grading, as n grows [26], [28].”
- Torus knots and the rational DAHA (2012, unknown): “knot. While these are among the simplest of all knots, no rigorous calculation of the invariants PK or PN,K has been carried out even when n= 3 (except the case N= 2, where the answer was computed in [Tur08]). By contrast, an explicit formula for PK was given by Jones [Jon87]. Some recent works [DMM”
- Graphs on surfaces and Khovanov homology (2007, methodology): “3; q/–torus links was computed by Turner [8].”