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Published online: 2014-03-03
Filtrations on instanton homologyPeter B. Kronheimer and Tomasz Mrowka (1) Harvard University, USA
(2) MIT, USA
In earlier work of the authors, the Khovanov complex of a knot or link appeared as the first page in a spectral sequence abutting to the instanton homology. The quantum and (co)homological gradings on Khovanov homology do not survive as gradings, but we show that they survive as filtrations.
Keywords: Knots, links, three-manifolds, Floer homology, Khovanov homology, instantons, filtrations, Reidemeister moves
Kronheimer Peter, Mrowka Tomasz: Filtrations on instanton homology. Quantum Topol. 5 (2014), 61-97. doi: 10.4171/QT/47