3-manifolds, q-series, and topological strings

Abstract: Z-hat, also known as the homological block, is an invariant of 3-manifolds valued in BPS q-series introduced by Gukov, Putrov and Vafa in their study of 3d N=2 theory T[M3]. In this talk, I will give a gentle introduction to Z-hat, highlighting some recent developments including the use of R-matrix for Verma modules, generalization to higher rank, the large N-limit and interpretation as open topological string partition functions.

HEP - theory

Audience: researchers in the topic

Strings and QFTs for Eurasian time zone

Series comments: Zoom ID: 9383671691 Password: 123456

Videos in the past are available: www.youtube.com/playlist?list=PLAEGnJOLOrerGBvJcTfcHWO9SrHm7_QQT

Some sets of slides are available: drive.google.com/drive/folders/1B0udaGxGDVzYPGYlbyEvySmPYBRslP5K?usp=sharing

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