229 citations · 827 across the 21 of their papers we have counts for
22 papers
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…
Skein lasagna modules and handle decompositions
Ciprian Manolescu, Kevin Walker, Paul Wedrich
The skein lasagna module is an extension of Khovanov-Rozansky homology to the setting of a four-manifold and a link in its boundary. This invariant plays the role of the Hilbert sp…
A universal state sum
Kevin Walker
We define a universal state sum construction which specializes to most previously known state sums (Turaev-Viro, Dijkgraaf-Witten, Crane-Yetter, Douglas-Reutter, Witten-Reshetikhin…
Invariants of 4-manifolds from Khovanov-Rozansky link homology
Scott Morrison, Kevin Walker, Paul Wedrich
We use Khovanov-Rozansky gl(N) link homology to define invariants of oriented smooth 4-manifolds, as skein modules constructed from certain 4-categories with well-behaved duals. Th…
Fermion condensation and super pivotal categories
David Aasen, Ethan Lake, Kevin Walker
We study fermionic topological phases using the technique of fermion condensation. We give a prescription for performing fermion condensation in bosonic topological phases which co…
Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies
Maissam Barkeshli, Parsa Bonderson, Chao-Ming Jian +2
We study symmetry-enriched topological (SET) phases in 2+1 space-time dimensions with spatial reflection and/or time-reversal symmetries. We provide a systematic construction of a…