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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.

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Citation data

  • DOI 10.24350/CIRM.V.19932503
  • Cite this video GUKOV Sergei (6/6/22). 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


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