3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GT2024
Spectra in Khovanov and knot Floer theories
Marco Marengon, Sucharit Sarkar, Andras Stipsicz
These notes provide an introduction to the stable homotopy types in Khovanov theory (due to Lipshitz-Sarkar) and in knot Floer theory (due to Manolescu-Sarkar). They were written f…
math.GT2023
On the rank of knot homology theories and concordance
Nathan M. Dunfield, Sherry Gong, Thomas Hockenhull +2
For a ribbon knot, it is a folk conjecture that the rank of its knot Floer homology must be 1 modulo 8, and another folk conjecture says the same about reduced Khovanov homology. W…
math.GT2014★ 3 cited
On -invariants and generalised Kanenobu knots
Marco Marengon
We prove that for particular infinite families of -spaces, arising as branched double covers, the -invariants defined by Ozsváth and Szabó are arbitrarily large and small. As…