4 papers · 1 filter
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…
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…