Periodic ends and knot concordance

DOI10.1016/0166-8641(89)90051-5zbMath0687.57004OpenAlexW2049120537MaRDI QIDQ1263130

Robert E. Gompf

Publication date: 1989

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(89)90051-5

zbMATH Keywords

knotsgauge theoryWhitehead doubledoubled knotsdefinite 4-manifolds with periodic endssmooth concordance classes of knotssmoothly concordantsmoothly slice knotstopological knot concordancetopologically slice knotsuncountably many diffeomorphism types of Casson handles

Mathematics Subject Classification ID

Applications of PDEs on manifolds (58J90) Smoothing in differential topology (57R10)

Related Items

QUANTUM D-BRANES AND EXOTIC SMOOTH ℝ⁴, TOPOLOGICAL QUANTUM D-BRANES AND WILD EMBEDDINGS FROM EXOTIC SMOOTH ℝ⁴, EXOTIC SMOOTH ℝ⁴ AND CERTAIN CONFIGURATIONS OF NS AND D BRANES IN STRING THEORY, AN INFINITE FAMILY OF CASSON HANDLES AND THE RASMUSSEN INVARIANT OF A KNOT

Cites Work

• The topology of four-dimensional manifolds
• Infinite families of Casson handles and topological disks
• An infinite set of exotic \({\mathbb{R}}^ 4\)'s.
• Smooth concordance of topologically slice knots
• Pseudofree orbifolds
• Applications of Donaldson's theorems to classical knot concordance, homology 3-spheres and property P
• Three exotic \(R^ 4\)'s and other anomalies
• Gauge theory on asymptotically periodic 4-manifolds
• An application of gauge theory to four dimensional topology