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Quantum Modular Forms as three-manifolds invariants

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  • UserMiranda Cheng (Amsterdam)
  • ClockThursday 28 January 2021, 13:00-14:00
  • HouseOnline (Zoom).

If you have a question about this talk, please contact Pietro Benetti Genolini.

Quantum modular forms are, roughly speaking, functions that have certain weak modular properties. Mock modular forms and false theta functions are examples of holomorphic functions on the upper-half plane which lead to quantum modular forms. Generalising the Witten-Reshetikhin-Turaev invariants for three-manifolds which arise from Chern-Simons theory, a new topological invariant named homological blocks which arise from 6d SCFT have been proposed a few years ago. My talk aims to explain the recent observations on the quantum modular properties of the homological blocks, as well as the relation to logarithmic vertex algebras. The talk will be based on a series of work in collaboration with Sungbong Chun, Boris Feigin, Francesca Ferrari, Sergei Gukov, Sarah Harrison, and Gabriele Sgroi.

This talk is part of the Quantum Fields and Strings Seminars series.

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