Surprising VOA structures from Quantum Topology | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Surprising VOA structures from Quantum Topology

By Sergei Gukov

Appears in collection : Vertex Algebras and Representation Theory / Algèbres vertex et théorie des représentations

In quantum topology, one usually constructs invariants of knots and 3-manifolds starting with an algebraic structure with suitable properties that can encode braiding and surgery operations in three dimensions. ln this talk, 1 review recent work on q-series invariants of 3-manifolds, associated with quantum groups at generic q, that provide a connection between quantum topology and algebra going in the opposite direction: starting with a 3-manifold and a choice of Spin-C structure, the q-series invariant turns out to be a character of a (logarithmic) vertex algebra that depends on the 3-manifold.

Information about the video

Date of recording 06/06/2022
Date of publication 04/07/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19932503
Cite this video GUKOV, Sergei (06/06/2022). Surprising VOA structures from Quantum Topology. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19932503
URL https://dx.doi.org/10.24350/CIRM.V.19932503

Domain(s)

Bibliography

CHENG, Miranda CN, CHUN, Sungbong, FEIGIN, Boris, et al. 3-Manifolds and VOA Characters. arXiv preprint arXiv:2201.04640, 2022. - https://doi.org/10.48550/arXiv.2201.04640
CHENG, Miranda CN, CHUN, Sungbong, FERRARI, Francesca, et al. 3d Modularity. arXiv e-prints, page. arXiv preprint arXiv:1809.10148, 2018. - https://doi.org/10.48550/arXiv.1809.10148

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2026

Give feedback