A generalization of Rasmussen's invariant, with applications to surfaces in some four-manifolds

DOI10.1215/00127094-2022-0039OpenAlexW2981003236MaRDI QIDQ2683548

Michael Willis, Ciprian Manolescu, Sucharit Sarkar, Marco Marengon

Publication date: 13 February 2023

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08195

zbMATH Keywords

Hochschild homologyslice genusKhovanov homologyGluck twist

Mathematics Subject Classification ID

General topology of 4-manifolds (57K40) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (6)

Categorical lifting of the Jones polynomial: a survey ⋮ On the slice genus of quasipositive knots in indefinite 4-manifolds ⋮ Slice knots and knot concordance ⋮ Khovanov homology and exotic surfaces in the 4-ball ⋮ From zero surgeries to candidates for exotic definite 4‐manifolds ⋮ Knot Floer homology and relative adjunction inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Filtering smooth concordance classes of topologically slice knots
• Khovanov homology and the slice genus
• Stabilization for mapping class groups of 3-manifolds
• A functor-valued invariant of tangles
• Positive links
• Braiding knots in contact 3-manifolds
• The topology of four-dimensional manifolds
• The universal Khovanov link homology theory
• Man and machine thinking about the smooth 4-dimensional Poincaré conjecture
• Stein \(4\)-manifolds with boundary and contact structures
• Knot Floer homology and the four-ball genus
• Categorification of the Kauffman bracket skein module of \(I\)-bundles over surfaces
• Computations of the Ozsvath-Szabo knot concordance invariant
• A categorification of the Jones polynomial
• Khovanov homotopy type, Burnside category and products
• Bridge trisections in \(\mathbb{CP}^2\) and the Thom conjecture
• Khovanov homology for links in \(\#^r (S^2\times S^1)\)
• Knot Floer homology and relative adjunction inequalities
• The Conway knot is not slice
• Khovanov's homology for tangles and cobordisms
• The self-linking number in planar open book decompositions
• Heegaard Floer homology of Matsumoto's manifolds
• Link cobordisms and absolute gradings on link Floer homology
• A refinement of Rasmussen's \({s}\)-invariant
• An endomorphism of the Khovanov invariant
• Field theories, stable homotopy theory and Khovanov homology
• THE CATEGORIFICATION OF THE KAUFFMAN BRACKET SKEIN MODULE OF
• A Khovanov stable homotopy type
• Quasipositivity as an obstruction to sliceness
• CONVERGENCE OF CONTACT STRUCTURES TO FOLIATIONS
• Planar algebras
• FAST KHOVANOV HOMOLOGY COMPUTATIONS
• The Ozsváth-Szabó and Rasmussen concordance invariants are not equal
• Categorification of the Colored Jones Polynomial and Rasmussen Invariant of Links
• Characterization of Positive Links and the s-invariant for Links
• Homogeneous Links
• RASMUSSEN INVARIANT, SLICE-BENNEQUIN INEQUALITY, AND SLICENESS OF KNOTS
• Gauge theory and Rasmussen's invariant
• Link homology and Frobenius extensions

This page was built for publication: A generalization of Rasmussen's invariant, with applications to surfaces in some four-manifolds