A Khovanov stable homotopy type

By Robert Lipshitz, Sucharit Sarkar. 2011

94 citations recorded by the source corpus.

. Given a link diagram L we construct spectra X j Kh ( L ) so that the Khovanov homology Kh i,j ( L ) is isomorphic to the (reduced) singular cohomology H i ( X j Kh ( L )). The construction of X j Kh ( L ) is combinatorial and explicit. We prove that the stable homotopy type of X j Kh ( L ) depends only on the isotopy class of the corresponding link.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c5794657d814ed4ea79863c6a2745e0c221962f0

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In Geometry and Topology

1. Peter S. Ozsv'ath
2. A. Stipsicz
3. Zolt'an Szab'o
4. Sucharit Sarkar
5. Ian Zemke
6. Robert Lipshitz
7. Ciprian Manolescu
8. M. Hedden

In Mathematical Physics

1. A. Stipsicz
2. Peter S. Ozsv'ath
3. Zolt'an Szab'o
4. Sucharit Sarkar
5. Ian Zemke
6. Ciprian Manolescu
7. Robert Lipshitz
8. M. Hedden

Citations in the corpus

• A Steenrod square on Khovanov homology (2012, methodology): “Let X denote the space constructed above and Y = Y (L) the CW complex from [8] associated to L in quantum grading .”
• Grid Homology for Knots and Links (2015, background): “In a different direction, Lipshitz and Sarkar [122] constructed a spectrum associated to Khovanov homology.”