Protected spin characters, link invariants and exact WKB

Abstract: In this talk I will describe the construction of a new link "invariant" (with possible wall-crossing behaviors) for links L in a 3-manifold M, where M is a surface times the real line. This construction computes familiar link invariants in a new way, furthermore it unifies that computation with the computation of (framed) protected spin characters counting ground states with spin for supersymmetric line defects in 4d N=2 theories of class-S. I will also mention possible extensions to general 3-manifolds M that admit a triangulation with tetrahedrons. Finally I will describe some applications of this construction, in particular to a possible extension of the exact WKB method in 4d N=2 theories. This talk is based on past and ongoing work with Andrew Neitzke, as well as ongoing work with Gregory Moore and Andrew Neitzke.

HEP - theorymathematical physics

Audience: researchers in the topic

QFT and Geometry

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