Filtrations on instanton homology

Mathematics – Geometric Topology

Scientific paper

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40 pages, 4 figures

Scientific paper

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.

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