A topological introduction to knot contact homology

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2014-01-01

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Abstract

This is a survey of knot contact homology, with an emphasis on topological, algebraic, and combinatorial aspects.

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10.1007/978-3-319-02036-5_10

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Ng, L (2014). A topological introduction to knot contact homology. Bolyai Society Mathematical Studies, 26. pp. 485–530. 10.1007/978-3-319-02036-5_10 Retrieved from https://hdl.handle.net/10161/17786.

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Lenhard Lee Ng

Professor of Mathematics

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 sheaf theory, especially as they relate to Legendrian and transverse knots.


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