38 citations · 196 across the 18 of their papers we have counts for
22 papers
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…
Counting monogenic monoids and inverse monoids
L. Elliott, A. Levine, J. D. Mitchell
In this short note, we show that the number of monogenic submonoids of the full transformation monoid of degree for , equals the sum of the number of cyclic subgroups of…
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.