Lewark, Lukas; Lobb, Andrew (2019). Upsilon-like concordance invariants from sl(n) knot cohomology. Geometry & Topology, 23(2), pp. 745-780. Mathematical Sciences Publishers 10.2140/gt.2019.23.745
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Lewark Lobb - Upsilon-like concordance invariants from sl(n) knot cohomology - Geom Topol.pdf - Published Version Available under License Publisher holds Copyright. Download (443kB) | Preview |
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We construct smooth concordance invariants of knots K which take the form of piecewise linear maps ℷₙ(K):[0,1]→R for n≥2. These invariants arise from sln knot cohomology. We verify some properties which are analogous to those of the invariant Υ (which arises from knot Floer homology), and some which differ. We make some explicit computations and give some topological applications.
Further to this, we define a concordance invariant from equivariant slₙ knot cohomology which subsumes many known concordance invariants arising from quantum knot cohomologies.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Lewark, Lukas Pascal |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1465-3060 |
Publisher: |
Mathematical Sciences Publishers |
Language: |
English |
Submitter: |
Michel Arthur Bik |
Date Deposited: |
17 Feb 2020 15:11 |
Last Modified: |
05 Dec 2022 15:36 |
Publisher DOI: |
10.2140/gt.2019.23.745 |
ArXiv ID: |
1707.00891 |
BORIS DOI: |
10.7892/boris.139951 |
URI: |
https://boris.unibe.ch/id/eprint/139951 |
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