4 citations · 9 across the 10 of their papers we have counts for
10 papers
Quantum topological Hochschild homology and annular Khovanov spectra
Rostislav Akhmechet, Teena Gerhardt, Michael Willis
Topological Hochschild homology is a topological analogue of classical Hochschild homology of algebras and bimodules. Beliakova, Putyra, and Wehrli introduced quantum Hochschild ho…
Annular SL(2) and SL(3) web algebras
Rostislav Akhmechet, Mikhail Khovanov, Melissa Zhang
We use annular foam TQFTs introduced by the first two authors to define equivariant and web algebras in the annulus. To a diagram of a tangle in the thickened annul…
Knot lattice homology and -series invariants for plumbed knot complements
Rostislav Akhmechet, Peter K. Johnson, Sunghyuk Park
We introduce an invariant of negative definite plumbed knot complements unifying knot lattice homology, due to Ozsváth, Stipsicz, and Szabó, and the BPS -series of Gukov and Man…
Anchored foams and annular Khovanov-Rozansky homology
Rostislav Akhmechet
We introduce equivariant homology for links in the thickened annulus via foam evaluation.
Concordance invariants from -equivariant Khovanov homology
Rostislav Akhmechet, Melissa Zhang
We study Khovanov homology over the Frobenius algebra , or -equivariant Khovanov homology, and extract two families of concordance…
Lattice cohomology and -series invariants of -manifolds
Rostislav Akhmechet, Peter K. Johnson, Vyacheslav Krushkal
An invariant is introduced for negative definite plumbed -manifolds equipped with a spin-structure. It unifies and extends two theories with rather different origins and str…
Anchored foams and annular homology
Rostislav Akhmechet, Mikhail Khovanov
We describe equivariant SL(2) and SL(3) homology for links in the solid torus via foam evaluation. The solid torus is replaced by 3-space with a distinguished line in it. Generator…
Towards an action on the annular Khovanov spectrum
Rostislav Akhmechet, Vyacheslav Krushkal, Michael Willis
Given a link in the thickened annulus, its annular Khovanov homology carries an action of the Lie algebra , which is natural with respect to annular link cobordism…
Equivariant annular Khovanov homology
Rostislav Akhmechet
We construct an equivariant version of annular Khovanov homology via the Frobenius algebra associated with -equivariant cohomology of . Motivated b…
Stable homotopy refinement of quantum annular homology
Rostislav Akhmechet, Vyacheslav Krushkal, Michael Willis
We construct a stable homotopy refinement of quantum annular homology, a link homology theory introduced by Beliakova, Putyra and Wehrli. For each we associate to an annu…