Lewark, Lukas; Lobb, Andrew (2019). Upsilonlike concordance invariants from sl(n) knot cohomology. Geometry & Topology, 23(2), pp. 745780. Mathematical Sciences Publishers 10.2140/gt.2019.23.745

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Lewark Lobb  Upsilonlike 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) 

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: 
14653060 
Publisher: 
Mathematical Sciences Publishers 
Language: 
English 
Submitter: 
Michel Arthur Bik 
Date Deposited: 
17 Feb 2020 15:11 
Last Modified: 
13 Mar 2021 13:47 
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 