53 citations · 203 across the 36 of their papers we have counts for
45 papers
An Extension of Khovanov Homology to Immersed Surface Cobordisms
Scott Carter, Benjamin Cooper, Mikhail Khovanov +1
We show that an oriented surface in containing double point singularities induces a map between the Khovanov homology groups of its boundary links in a functorial wa…
A new approach to (3+1)-dimensional TQFTs via topological modular forms
Sergei Gukov, Vyacheslav Krushkal, Lennart Meier +1
In this paper, we present a construction toward a new type of TQFTs at the crossroads of low-dimensional topology, algebraic geometry, physics, and homotopy theory. It assigns TMF-…
A triple torsion linking form and 3-manifolds in
Michael Freedman, Vyacheslav Krushkal
Given a rational homology 3-sphere , we introduce a triple linking form on , defined when the classical torsion linking pairing of three homology classes van…
Spineless 5-manifolds and the deformation conjecture
Michael Freedman, Vyacheslav Krushkal, Tye Lidman
We construct a compact PL 5-manifold (with boundary) which is homotopy equivalent to the wedge of eleven 2-spheres, , which is "spineless", meaning is not…
On the universal pairing for 2-complexes
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson
The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 by Freedman et al. We prove an analogous result for 2-complexes, and also show that the…
Pseudo-isotopies of simply connected 4-manifolds
David Gabai, David T. Gay, Daniel Hartman +2
Perron and Quinn gave independent proofs in 1986 that every topological pseudo-isotopy of a simply-connected, compact topological 4-manifold is isotopic to the identity. Another re…