8 citations · 31 across the 11 of their papers we have counts for
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3 papers · 1 filter
math.GT2017★ 1 cited
Additional gradings on generalisations of Khovanov homology and invariants of embedded surfaces
Vassily Olegovich Manturov, William Rushworth
We define additional gradings on two generalisations of Khovanov homology (one due to the first author, the other due to the second), and use them to define invariants of various k…
math.GT2017★ 5 cited
Computations of the slice genus of virtual knots
William Rushworth
A virtual knot is an equivalence class of embeddings of into thickened (closed oriented) surfaces, up to self-diffeomorphism of the surface and certain handle stabilisation…
math.GT2017★ 8 cited
Doubled Khovanov Homology
William Rushworth
We define a homology theory of virtual links built out of the direct sum of the standard Khovanov complex with itself, motivating the name doubled Khovanov homology. We demonstrate…