Notes on topological strings and knot contact homology

TL;DR

This paper introduces the connection between topological string theory and knot contact homology, discussing recent developments and joint work that explore their mathematical and physical relationship.

Contribution

It provides an accessible overview of the emerging link between topological strings and knot contact homology, highlighting recent joint research findings.

Findings

Establishes a relation between topological string theory and knot contact homology.

Summarizes recent joint work by Aganagic, Ng, Vafa, and the author.

Provides an introductory perspective on the subject.

Abstract

We give an introduction to the physics and mathematics involved in the recently observed relation between topological string theory and knot contact homology and then discuss this relation. The note is based on two lectures given at the Gokova Geometry and Topology Conference, 2013 and reports on joint work by Aganagic, Ng, Vafa, and the author.