Embedding spheres in knot traces

DOI10.1112/S0010437X21007508zbMath1486.57026arXiv2004.04204OpenAlexW3206508827MaRDI QIDQ5014253

Peter Feller, Mark Powell, Patrick Orson, Arunima Ray, Matthias Nagel, Allison N. Miller

Publication date: 1 December 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04204

zbMATH Keywords

Alexander polynomialArf invariantTristram-Levine signatureslocally flat embeddingshake slice

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Surgery obstructions, Wall groups (57R67) Cobordism and concordance in topological manifolds (57N70) Knot theory (57K10) General topology of 4-manifolds (57K40)

Related Items (4)

Abelian invariants of doubly slice links ⋮ Topology. Abstracts from the workshop held July 24--30, 2022 ⋮ The \(\mathbb{Z}\)-genus of boundary links ⋮ Simple spines of homotopy 2‐spheres are unique

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The degree of the Alexander polynomial is an upper bound for the topological slice genus
• Nonconcordant links with homology cobordant zero-framed surgery manifolds
• Cosmetic surgeries on knots in \(S^3\)
• Locally flat 2-spheres in simply connected 4-manifolds
• Two-dimensional submanifolds of four-dimensional manifolds
• Free differential calculus. III: Subgroups
• The topology of four-dimensional manifolds
• Classification of Hermitian forms. VI: Group rings
• Complexity of 4-dimensional \(h\)-cobordisms
• Link invariants via eta invariant
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Heegaard Floer homology and alternating knots
• Higher order intersection numbers of \(2\)-spheres in \(4\)-manifolds
• On classical upper bounds for slice genera
• An infinite family of non-concordant knots having the same Seifert form
• Seifert forms and concordance
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Bounds on genus and geometric intersections from cylindrical end moduli spaces
• Stabilization distance between surfaces
• On knots with trivial Alexander polynomial
• Double plumbings of disk bundles over spheres
• The index of elliptic operators. III
• Polynomial invariants of knots of codimension two
• Topological spines of 4-manifolds
• Milnor invariants and twisted Whitney towers
• AN INJECTIVITY THEOREM FOR CASSON-GORDON TYPE REPRESENTATIONS RELATING TO THE CONCORDANCE OF KNOTS AND LINKS
• Dehn Surgery and Satellite Knots
• ON 2-SPHERES IN 4-MANIFOLDS
• Manifolds with multiple knot-surgery descriptions
• The computation of even dimension surgery groups of odd torsion groups
• Distinct 3-Manifolds with all SU(2) q Invariants the Same
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Representing homology classes by locally flat surfaces of minimum genus
• Satellites and concordance of knots in 3–manifolds
• Simply-Connected 4-Manifolds with a given Boundary
• Knot signature functions are independent
• ON CERTAIN 5-MANIFOLDS WITH FUNDAMENTAL GROUP OF ORDER 2
• Whitehead torsion
• An invariant of knot cobordism
• ON THE HOMOLOGY INVARIANTS OF KNOTS

This page was built for publication: Embedding spheres in knot traces