6 citations · 14 across the 10 of their papers we have counts for
10 papers · 1 filter
Decompositions and diagrams of symplectic surfaces in Weinstein domains
Román Aranda, Patricia Cahn, Agniva Roy +1
We introduce combinatorial and diagrammatic methods for representing properly embedded symplectic surfaces in 4-dimensional Weinstein domains. We show that positive ascending surfa…
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…
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…
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.…
Khovanov homology and the Involutive Heegaard Floer homology of branched double covers
Akram Alishahi, Linh Truong, Melissa Zhang
We use involutive Heegaard Floer homology to extend the Ozsváth-Szabó branched double cover spectral sequence relating a version of Khovanov homology and the Heegaard Floer homolog…
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…
On Khovanov Homology and Related Invariants
Carmen Caprau, Nicolle González, Christine Ruey Shan Lee +3
This paper begins with a survey of some applications of Khovanov homology to low-dimensional topology, with an eye toward extending these results to homologies.…
Annular link invariants from the Sarkar-Seed-Szabó spectral sequence
Linh Truong, Melissa Zhang
For a link in a thickened annulus , we define a filtration on Sarkar-Seed-Szabó's perturbation of the geometric spectra…
Localization in Khovanov homology
Matthew Stoffregen, Melissa Zhang
We construct equivariant Khovanov spectra for periodic links, using the Burnside functor construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point set…
A rank inequality for the annular Khovanov homology of 2-periodic links
Melissa Zhang
For a 2-periodic link in the thickened annulus and its quotient link , we exhibit a spectral sequence with $E^1 \cong AKh(\tilde L) \otimes_{\mathbb{F}_2} \mathbb{F}_…