ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER
We discuss the relation between arc index, maximal ThurstonBennequin number, and Khovanov homology for knots. As a consequence, we calculate the arc index and maximal ThurstonBennequin number for all knots with at most 11 crossings. For some of these knots, the calculation requires a consideration of cables which also allows us to compute the maximal self-linking number for all knots with at most 11 crossings. © 2012 World Scientific Publishing Company.
SubjectScience & Technology
Published Version (Please cite this version)10.1142/S0218216511009820
Publication InfoNg, Lenhard (2012). ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER. Journal of Knot Theory and Its Ramifications, 21(04). pp. 1250031-1250031. 10.1142/S0218216511009820. Retrieved from https://hdl.handle.net/10161/17789.
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Eads Family Professor
My research mainly focuses on symplectic topology and low-dimensional topology. I am interested in studying structures in symplectic and contact geometry (Weinstein manifolds, contact manifolds, Legendrian and transverse knots), especially through holomorphic-curve techniques. One particular interest is extracting topological information about knots through cotangent bundles, and exploring relations to topological string theory. I have also worked in Heegaard Floer theory, quantum topology, and