Knot reversal acts non-trivially on the concordance group of topologically slice knots

DOI10.1007/s00029-021-00751-1OpenAlexW3000322445MaRDI QIDQ2071748

Yanyan Li

Publication date: 31 January 2022

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12014

zbMATH Keywords

slice knotsknot concordanceknot reverse

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (5)

Knot reversal and rational concordance ⋮ Slice knots and knot concordance ⋮ Branched covers and rational homology balls ⋮ Critical point counts in knot cobordisms: abelian and metacyclic invariants ⋮ The cobordism distance between a knot and its reverse

Uses Software

• SnapPy

Cites Work

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• Topologically slice knots of smooth concordance order two
• Filtering smooth concordance classes of topologically slice knots
• Topologically slice knots with nontrivial Alexander polynomial
• The topology of four-dimensional manifolds
• Identifying non-invertible knots
• On the slice genus of knots
• Twisted knot polynomials: inversion, mutation and concordance
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• The bipolar filtration of topologically slice knots
• Branched covers bounding rational homology balls
• Knot Floer homology of Whitehead doubles
• Non-invertible knots exist
• SLICE KNOTS IN S³
• Discriminants of Casson–Gordon invariants
• Primary decomposition in the smooth concordance group of topologically slice knots
• One-Bipolar Topologically Slice Knots and Primary Decomposition
• A Concordance Invariant from the Floer Homology of Double Branched Covers
• Almost-primes represented by quadratic polynomials

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