Quantum Topology


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Volume 5, Issue 1, 2014, pp. 61–97
DOI: 10.4171/QT/47

Published online: 2014-03-03

Filtrations on instanton homology

Peter B. Kronheimer[1] and Tomasz Mrowka[2]

(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