A family of non-split topologically slice links with arbitrarily large smooth slice genus

DOI10.1090/proc/13724zbMath1378.57014arXiv1605.07045OpenAlexW2963183968MaRDI QIDQ4590997

Arunima Ray, Junghwan Park

Publication date: 21 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07045

Mathematics Subject Classification ID

Related Items

Linear independence of cables in the knot concordance group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topologically slice knots with nontrivial Alexander polynomial
• Instantons, concordance, and Whitehead doubling
• The topology of four-dimensional manifolds
• Smooth concordance of topologically slice knots
• Applications of Donaldson's theorems to classical knot concordance, homology 3-spheres and property P
• Stein \(4\)-manifolds with boundary and contact structures
• Four-genera of quasipositive knots
• The geometry of the knot concordance space
• The concordance invariant tau in link grid homology
• Holomorphic disks and topological invariants for closed three-manifolds
• An application of gauge theory to four dimensional topology
• Bounds for the Thurston-Bennequin number from Floer homology
• An obstruction to sliceness via contact geometry and ``classical gauge theory
• Linear independence of topologically slice knots in the smooth cobordism group
• Legendrian solid-torus links
• Knot Floer homology of Whitehead doubles
• On 2-bridge knots with differing smooth and topological slice genera
• Bordered Heegaard Floer homology and the tau-invariant of cable knots
• Satellite operators with distinct iterates in smooth concordance
• The slice genus and the Thurston-Bennequin invariant of a knot
• Concordance properties of parallel links