3 papers
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 and web algebras in the annulus. To a diagram of a tangle in the thickened annul…
math.GT2025
Notes on Khovanov homology
Melissa Zhang
These are expository lecture notes from a graduate topics course taught by the author on Khovanov homology and related invariants. Major topics include the Jones polynomial, Khovan…
math.GT2025
On the Categorified Wrapping Number Conjecture
Benjamin Daniels, Melissa Zhang
We prove the Categorified Wrapping Number Conjecture for large classes of annular links, including alternating annular links and tangle closures exhibiting plumbed link phenomena.…