Stable isotopy in four dimensions
From MaRDI portal
Publication:5245679
DOI10.1112/jlms/jdu075zbMath1355.57028arXiv1406.4937OpenAlexW2000706348MaRDI QIDQ5245679
David Auckly, Hee Jung Kim, Daniel Ruberman, Paul M. Melvin
Publication date: 14 April 2015
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.4937
Surgery and handlebodies (57R65) Embeddings in differential topology (57R40) Isotopy in differential topology (57R52) Cobordism and concordance in PL-topology (57Q60)
Related Items (8)
Absolutely exotic compact 4-manifolds ⋮ Isotopy of surfaces in 4-manifolds after a single stabilization ⋮ On the Frøyshov invariant and monopole Lefschetz number ⋮ Isotopy of the Dehn twist on \(K\,3\,\#\,K\,3\) after a single stabilization ⋮ Knotted surfaces in $4$-manifolds by knot surgery and stabilization ⋮ The 4-dimensional light bulb theorem ⋮ Knotted surfaces in 4-manifolds and stabilizations ⋮ Nonexistence of twists and surgeries generating exotic 4-manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Concordance and isotopy of metrics with positive scalar curvature
- The Dolgachev surface. Disproving the Harer-Kas-Kirby conjecture.
- A decomposition of smooth simply-connected \(h\)-cobordant 4-manifolds
- Locally flat 2-spheres in simply connected 4-manifolds
- The topology of four-dimensional manifolds
- A solution to a conjecture of Zeeman
- Nuclei of elliptic surfaces
- Stability of the homology of the mapping class groups of orientable surfaces
- Stable diffeomorphism of compact 4-manifolds
- Irrationality and the h-cobordism conjecture
- Pseudo-isotopies et isotopies en dimension quatre dans la catégorie topologique. (Pseudo-isotopies and isotopies of dimension four in the topological category)
- On the diffeomorphism types of certain algebraic surfaces. I
- Elliptic surfaces and some simple exotic \(\mathbb{R}^ 4\)'s
- Links of Brunnian type
- Branched covers of surfaces in 4-manifolds
- On the structure of manifolds with positive scalar curvature
- Mazur manifolds
- The classification of simply connected manifolds of positive scalar curvature
- A fake compact contractible 4-manifold
- The topology of 4-manifolds
- Round handles and non-singular Morse-Smale flows
- Some new four-manifolds
- Complex surfaces and connected sums of complex projective planes
- Knots, links, and 4-manifolds
- Surgery and duality
- Rational blowdowns of smooth 4-manifolds
- An obstruction to smooth isotopy in dimension \(4\)
- Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants
- Isotopy of 4-manifolds
- The orientation of Yang-Mills moduli spaces and 4-manifold topology
- Families of four-dimensional manifolds that become mutually diffeomorphic after one stabilization
- A new construction of symplectic manifolds
- A decomposition theorem for \(h\)-cobordant smooth simply-connected compact \(4\)-manifolds
- A note on some contractible 4-manifolds
- Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
- Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics
- Surfaces in 4-Manifolds: Concordance, Isotopy, and Surgery
- Extending Diffeomorphisms
- Topologie de certains espaces de plongements
- Knotting corks
- The stable mapping class group of simply connected 4-manifolds
- Topological triviality of smoothly knotted surfaces in $4$-manifolds
- SYMMETRY GROUPS OF HYPERBOLIC KNOTS AND LINKS
- 2-Torsion Instanton Invariants
- On 2-dimensional homology classes of 4-manifolds
- Differential Topology
- Irrational Connected Sums and the Topology of Algebraic Surfaces
- Torsion Classes and a Universal Constraint on Donaldson Invariants for Odd Manifolds
- On Simply-Connected 4-Manifolds
- Round handles, logarithmic transforms and smooth 4-manifolds
- A note on 4-dimensional handlebodies
- Diffeomorphisms of 4-Manifolds
This page was built for publication: Stable isotopy in four dimensions