Feller, Peter and Lewark, Lukas and Lobb, Andrew (2025) Squeezed knots. QUANTUM TOPOLOGY, 16 (4). pp. 831-865. ISSN 1663-487X, 1664-073X
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Squeezed knots are those knots that appear as slices of genus-minimizing oriented smooth cobordisms between positive and negative torus knots. We show that this class of knots is large and discuss how to obstruct squeezedness. The most effective obstructions appear to come from quantum knot invariants, notably including refinements of the Rasmussen invariant due to Lipshitz-Sarkar and Sarkar-Scaduto-Stoffregen involving stable cohomology operations on Khovanov homology.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HEEGAARD FLOER HOMOLOGY; OZSVATH-SZABO; CONCORDANCE; INVARIANTS; REFINEMENT; LINKS; smooth concordance; knot cobordism; quantum invariants; spacification; Khovanov homology; Khovanov-Rozansky homologies; slice-torus invariants; quasipositive knots; Rasmussen invariants |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 11 Aug 2026 05:49 |
| Last Modified: | 11 Aug 2026 05:49 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66942 |
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