21 citations · 132 across the 31 of their papers we have counts for
5 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.
An involutive dual knot surgery formula
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove an involutive analog of the dual knot surgery formula of Eftekhary and Hedden-Levine. We also compute a small model for the local equivalence class of the involutive dual…
Naturality and functoriality in involutive Heegaard Floer homology
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove first-order naturality of involutive Heegaard Floer homology, and furthermore construct well-defined maps on involutive Heegaard Floer homology associated to cobordisms be…
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…