Structure in the bipolar filtration of topologically slice knots

DOI10.2140/agt.2015.15.415zbMath1318.57005arXiv1208.5788OpenAlexW3104244158MaRDI QIDQ2340083

Peter Horn, Tim D. Cochran

Publication date: 16 April 2015

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5788

zbMATH Keywords

knottopologically slice knotconcordance groupbipolar filtration

Mathematics Subject Classification ID

Related Items

Casson towers and slice links ⋮ Slice knots and knot concordance ⋮ A new family of links topologically, but not smoothly, concordant to the Hopf link ⋮ A note on $0$-bipolar knots of concordance order two ⋮ Links with non-trivial Alexander polynomial which are topologically concordant to the Hopf link ⋮ Distance one Lens space fillings and band surgery on the trefoil knot ⋮ Covering link calculus and the bipolar filtration of topologically slice links ⋮ The bipolar filtration of topologically slice knots ⋮ Linear independence of cables in the knot concordance group ⋮ Primary decomposition in the smooth concordance group of topologically slice knots ⋮ Casson towers and filtrations of the smooth knot concordance group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Filtering smooth concordance classes of topologically slice knots
• Topologically slice knots with nontrivial Alexander polynomial
• The knot Floer complex and the smooth concordance group
• Knot Floer homology and rational surgeries
• Branched covers of surfaces in 4-manifolds
• Holomorphic disks and topological invariants for closed three-manifolds
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Holomorphic disks and knot invariants
• Linear independence of topologically slice knots in the smooth cobordism group
• Order in the concordance group and Heegaard-Floer homology
• Covering link calculus and the bipolar filtration of topologically slice links
• Elementary surgery along a torus knot
• Unknotting Information from 4-Manifolds
• Concordance properties of parallel links

This page was built for publication: Structure in the bipolar filtration of topologically slice knots