Rostislav Akhmechet

activity

20202025

collaborators

4 papers

math.GT2025

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…

math.GT2025

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 $S L (2)$ and $S L (3)$ web algebras in the annulus. To a diagram of a tangle in the thickened annul…

math.GT2022

Concordance invariants from $U (1) \times U (1)$ -equivariant Khovanov homology

Rostislav Akhmechet, Melissa Zhang

We study Khovanov homology over the Frobenius algebra $F [U, V, X] / ((X - U) (X - V))$ , or $U (1) \times U (1)$ -equivariant Khovanov homology, and extract two families of concordance…

math.QA2020

Equivariant annular Khovanov homology