[PDF][PDF] A Rasmussen invariant for links in RP3
C Manolescu, M Willis - arXiv preprint arXiv:2301.09764, 2023 - stanford.edu
Asaeda-Przytycki-Sikora, Manturov, and Gabrovšek extended Khovanov homology to links
in RP3. We construct a Lee-type deformation of their theory, and use it to define an analogue …
in RP3. We construct a Lee-type deformation of their theory, and use it to define an analogue …
A rank inequality for the annular Khovanov homology of 2–periodic links
M Zhang - Algebraic & Geometric Topology, 2018 - msp.org
A rank inequality for the annular Khovanov homology of 2-1.5mu–periodic links Page 1 msp
Algebraic & Geometric Topology 18 (2018) 1147–1194 A rank inequality for the annular Khovanov …
Algebraic & Geometric Topology 18 (2018) 1147–1194 A rank inequality for the annular Khovanov …
Anchored foams and annular homology
R Akhmechet, M Khovanov - Algebraic & Geometric Topology, 2023 - msp.org
We describe equivariant SL(2) and SL(3) homology for links in the thickened annulus via
foam evaluation. The thickened annulus is replaced by 3–space with a distinguished line in …
foam evaluation. The thickened annulus is replaced by 3–space with a distinguished line in …
[PDF][PDF] Anchored foams and annular Khovanov-Rozansky homology
R Akhmechet - arXiv preprint arXiv:2305.08944, 2023 - arxiv.org
arXiv:2305.08944v1 [math.GT] 15 May 2023 Page 1 ANCHORED glN FOAMS AND ANNULAR
KHOVANOV-ROZANSKY HOMOLOGY ROSTISLAV AKHMECHET Abstract. We introduce …
KHOVANOV-ROZANSKY HOMOLOGY ROSTISLAV AKHMECHET Abstract. We introduce …
Notes on Khovanov homology
M Zhang - arXiv preprint arXiv:2501.03115, 2025 - arxiv.org
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 …
Khovanov homology and related invariants. Major topics include the Jones polynomial …
Symplectic trisections and the adjunction inequality
P Lambert-Cole - arXiv preprint arXiv:2009.11263, 2020 - arxiv.org
In this paper, we establish a version of the adjunction inequality for closed symplectic 4-
manifolds. As in a previous paper on the Thom conjecture, we use contact geometry and …
manifolds. As in a previous paper on the Thom conjecture, we use contact geometry and …
Annular Rasmussen invariants: Properties and 3-braid classification
G Martin - arXiv preprint arXiv:1909.09245, 2019 - arxiv.org
We prove that for a fixed braid index there are only finitely many possible shapes of the
annular Rasmussen $ d_t $ invariant of braid closures. Applying the same perspective to the …
annular Rasmussen $ d_t $ invariant of braid closures. Applying the same perspective to the …
A Rasmussen invariant for links in
C Manolescu, M Willis - arXiv preprint arXiv:2301.09764, 2023 - arxiv.org
Asaeda-Przytycki-Sikora, Manturov, and Gabrov\v {s} ek extended Khovanov homology to
links in $\mathbb {RP}^ 3$. We construct a Lee-type deformation of their theory, and use it to …
links in $\mathbb {RP}^ 3$. We construct a Lee-type deformation of their theory, and use it to …
Concordance invariants from -equivariant Khovanov homology
R Akhmechet, M Zhang - arXiv preprint arXiv:2210.10731, 2022 - arxiv.org
We study Khovanov homology over the Frobenius algebra $\mathbb {F}[U, V, X]/((XU)(XV))
$, or $ U (1)\times U (1) $-equivariant Khovanov homology, and extract two families of …
$, or $ U (1)\times U (1) $-equivariant Khovanov homology, and extract two families of …
Khovanov homology for links in thickened multipunctured disks
Z Winkeler - Michigan Mathematical Journal, 2024 - projecteuclid.org
We define a variant of Khovanov homology for links in thickened disks with multiple
punctures. This theory is distinct from the one previously defined by Asaeda, Przytycki, and …
punctures. This theory is distinct from the one previously defined by Asaeda, Przytycki, and …