114 citations · 921 across the 40 of their papers we have counts for
7 papers · 1 filter
Invariants of surfaces in smooth 4-manifolds from link homology
Kim Morrison, Kevin Walker, Paul Wedrich
We construct analogs of Khovanov-Jacobsson classes and the Rasmussen invariant for links in the boundary of any smooth oriented 4-manifold. The main tools are skein lasagna modules…
Kashaev--Reshetikhin Invariants of Links
Kai-Chieh Chen, Calvin McPhail-Snyder, Scott Morrison +1
Kashaev and Reshetikhin previously described a way to define holonomy invariants of knots using quantum at a root of unity. These are generalized quantum invarian…
Computing annular Khovanov homology
Hilary Hunt, Hannah Keese, Anthony Licata +1
We define a third grading on Khovanov homology, which is an invariant of annular links but changes by under stabilization. We illustrate the use of our computer implementat…
Man and machine thinking about the smooth 4-dimensional Poincaré conjecture
Michael Freedman, Robert Gompf, Scott Morrison +1
While topologists have had possession of possible counterexamples to the smooth 4-dimensional Poincaré conjecture (SPC4) for over 30 years, until recently no invariant has existed…
Fixing the functoriality of Khovanov homology
David Clark, Scott Morrison, Kevin Walker
We describe a modification of Khovanov homology (math.QA/9908171), in the spirit of Bar-Natan (math.GT/0410495), which makes the theory properly functorial with respect to link cob…
On Khovanov's cobordism theory for su(3) knot homology
Scott Morrison, Ari Nieh
We reconsider the su(3) link homology theory defined by Khovanov in math.QA/0304375 and generalized by Mackaay and Vaz in math.GT/0603307. With some slight modifications, we descri…