2 citations · 6 across the 10 of their papers we have counts for
4 papers · 1 filter
Rank-expanding satellites, Whitehead doubles, and Heegaard Floer homology
Irving Dai, Matthew Hedden, Abhishek Mallick +1
We show that a large class of satellite operators are rank-expanding; that is, they map some rank-one subgroup of the concordance group onto an infinite linearly independent set. O…
The -cable of the figure-eight knot is not smoothly slice
Irving Dai, Sungkyung Kang, Abhishek Mallick +2
We prove that the -cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.
Knot Floer homology and surgery on equivariant knots
Abhishek Mallick
Given an equivariant knot of order , we study the induced action of the symmetry on the knot Floer homology. We relate this action with the induced action of the symmetry on…
Equivariant knots and knot Floer homology
Irving Dai, Abhishek Mallick, Matthew Stoffregen
We define several equivariant concordance invariants using knot Floer homology. We show that our invariants provide a lower bound for the equivariant slice genus and use this to gi…