Explore the intricacies of MTC[M3] and Twisted Hilbert Spaces in this comprehensive lecture by Sergei Gukov from the California Institute of Technology. Delve into advanced mathematical concepts, starting with an introduction to the Meridian and Jones polynomial. Examine the relationship between torsion and Alexander polynomials, and investigate hyper functions and symmetrized expansions. Learn how to restore Q dependence and understand its relation to SLT. Discover the importance of invariance and Gromov-Witten invariants in this context. Analyze spectral curves and exact results, and evaluate the Belian claim through resurgence analysis. Gain valuable insights into these complex mathematical topics, culminating in a discussion of key points that tie the lecture's concepts together.
Overview
Syllabus
Introduction
Meridian
Jones polynomial
Torsion and Alexander polynomial
Alexander Polynomials
Hyper Functions
Symmetrized Expansion
How to restore Q dependence
Relation to SLT
Invariance
Gromovwitten invariant
Spectral curve
Exact results
Belian claim
Resurgence analysis
Key point
Taught by
ICTP Mathematics
