Annular Khovanov homology and knotted Schur–Weyl representations
Sign Up to like & getrecommendations! Published in 2017 at "Compositio Mathematica"
DOI: 10.1112/s0010437x17007540
Abstract: Let $\mathbb{L}\subset A\times I$ be a link in a thickened annulus. We show that its sutured annular Khovanov homology carries an action of $\mathfrak{sl}_{2}(\wedge )$ , the exterior current algebra of $\mathfrak{sl}_{2}$ . When $\mathbb{L}$… read more here.
Keywords: homology knotted; annular khovanov; knotted schur; schur weyl ... See more keywords
Corrigendum: A flexible construction of equivariant Floer homology and applications
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Topology"
DOI: 10.1112/topo.12124
Abstract: We correct a mistake regarding almost complex structures on Hilbert schemes of points in surfaces in arXiv:1510.02449. The error does not affect the main results of the paper, and only affects the proofs of invariance… read more here.
Keywords: construction equivariant; corrigendum flexible; flexible construction; symplectic khovanov ... See more keywords
Simplicial homotopy theory, link homology and Khovanov homology
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DOI: 10.1142/s021821651841002x
Abstract: This paper shows how, in principle, simplicial methods, including the well-known Dold–Kan construction can be applied to convert link homology theories into homotopy theories. The paper studies particularly the case of Khovanov homology and shows… read more here.
Keywords: homology khovanov; link homology; khovanov; homology ... See more keywords
Khovanov homology detects the trefoils
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DOI: 10.1215/00127094-2021-0034
Abstract: We prove that Khovanov homology detects the trefoils. Our proof incorporates an array of ideas in Floer homology and contact geometry. It uses open books; the contact invariants we defined in the instanton Floer setting;… read more here.
Keywords: detects trefoils; homology; geometry; homology detects ... See more keywords