Gauge theory and Rasmussen's invariant

DOI10.1112/jtopol/jtt008zbMath1298.57025arXiv1110.1297OpenAlexW2041586173MaRDI QIDQ5404122

Tomasz S. Mrowka, Peter B. Kronheimer

Publication date: 21 March 2014

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1297

zbMATH Keywords

spectral sequencefiltrationFloer homologygauge theoryslice genuslocal systemKhovanov homologyknot cobordismRasmussen invariantinstanton homologysmooth 4-dimensional Poincaré-Conjecture

Mathematics Subject Classification ID

Floer homology (57R58) Cobordism and concordance in PL-topology (57Q60)

Related Items (19)

Upsilon-like concordance invariants from \(\mathfrak{s}\mathfrak{l}_n\) knot cohomology ⋮ Filtering smooth concordance classes of topologically slice knots ⋮ Satellite operators with distinct iterates in smooth concordance ⋮ Linear independence of rationally slice knots ⋮ A generalization of Rasmussen's invariant, with applications to surfaces in some four-manifolds ⋮ Amphichiral knots with large 4‐genus ⋮ From zero surgeries to candidates for exotic definite 4‐manifolds ⋮ A survey of the homology cobordism group ⋮ A description of Rasmussen’s invariant from the divisibility of Lee’s canonical class ⋮ Rasmussen s-invariants of satellites do not detect slice knots ⋮ Concordance invariants of doubled knots and blowing up ⋮ On the functoriality of Khovanov-Floer theories ⋮ A refinement of Rasmussen's \({s}\)-invariant ⋮ A deformation of instanton homology for webs ⋮ Instantons and annular Khovanov homology ⋮ Shake slice and shake concordant knots ⋮ Deep and shallow slice knots in 4-manifolds ⋮ Instantons and Bar-Natan homology ⋮ Instantons and some concordance invariants of knots

This page was built for publication: Gauge theory and Rasmussen's invariant