38 citations · 196 across the 18 of their papers we have counts for
21 papers · 1 filter
New constructions and invariants of closed exotic 4-manifolds
Adam Simon Levine, Tye Lidman, Lisa Piccirillo
In this article, we give new means of constructing and distinguishing closed exotic four-manifolds. Using Heegaard Floer homology, we define new closed four-manifold invariants tha…
A note on rationally slice knots
Adam Simon Levine
Kawauchi proved that every strongly negative amphichiral knot bounds a smoothly embedded disk in some rational homology ball , whose construction a priori depe…
Khovanov homology and cobordisms between split links
Onkar Singh Gujral, Adam Simon Levine
In this paper, we study the (in)sensitivity of the Khovanov functor to four-dimensional linking of surfaces. We prove that if and are split links, and is a cobordism b…
Khovanov homology detects the figure-eight knot
John A. Baldwin, Nathan Dowlin, Adam Simon Levine +2
Using Dowlin's spectral sequence from Khovanov homology to knot Floer homology, we prove that reduced Khovanov homology (over ) detects the figure-eight knot.
Khovanov homology and ribbon concordance
Adam Simon Levine, Ian Zemke
We show that a ribbon concordance between two links induces an injective map on Khovanov homology.
A surgery formula for knot Floer homology
Matthew Hedden, Adam Simon Levine
Let be a rationally null-homologous knot in a -manifold , equipped with a nonzero framing , and let denote the result of -framed surgery on . Ozsváth an…