Unknotted gropes, Whitney towers, and doubly slicing knots
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Publication:4645088
DOI10.1090/tran/7371zbMath1429.57014arXiv1612.02226OpenAlexW2560788342MaRDI QIDQ4645088
Publication date: 10 January 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.02226
Cobordism and concordance in topological manifolds (57N70) Knot theory (57K10) General topology of 4-manifolds (57K40)
Related Items (4)
Amenable signatures, algebraic solutions and filtrations of the knot concordance group ⋮ Abelian invariants of doubly slice links ⋮ Mini-workshop: Interactions between low-dimensional topology and complex algebraic geometry. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ A ribbon obstruction and derivatives of knots
Cites Work
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- Casson towers and slice links
- Whitney tower concordance of classical links
- Nonconcordant links with homology cobordant zero-framed surgery manifolds
- Double \(L\)-groups and doubly slice knots
- Intersection theory of manifolds with operators with applications to knot theory
- Knot concordance and von Neumann \(\rho\)-invariants
- Doubly slice knots with low crossing number
- Topological minimal genus and \(L^2\)-signatures
- Knot concordance and higher-order Blanchfield duality
- On embedding 3-manifolds in 4-space
- A la recherche de la topologie perdue. 1: Du côté de chez Rohlin. 2: Le côté de Casson
- Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
- Structure in the classical knot concordance group
- Knot concordance, Whitney towers and \(L^2\)-signatures
- Exponential separation in \(4\)-manifolds
- Subexponential groups in \(4\)-manifold topology
- Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants
- Homological methods applied to the derived series of groups
- 4-manifold topology. I: Subexponential groups
- The non-triviality of the Grope filtrations of the knot and link concordance groups
- New obstructions to doubly slicing knots
- Invertible knot cobordisms
- A Topological Approach to Cheeger-Gromov Universal Bounds for von Neumann ρ-Invariants
- Milnor invariants and twisted Whitney towers
- L2-signatures, homology localization, and amenable groups
- Amenable L2-Theoretic Methods and Knot Concordance
- Higher-order Analogues of the Slice Genus of a Knot
- $L^2$ -eta-invariants and their approximation by unitary eta-invariants
- Configurations of Surfaces in 4-Manifolds
- Higher-order intersections in low-dimensional topology
- Two-torsion in the grope and solvable filtrations of knots
- Symmetric Whitney tower cobordism for bordered 3-manifolds and links
- Whitney towers and gropes in 4–manifolds
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