Ka Ho Wong - Asymptotics of K-L-V partition function, cusped 3-manifolds, and Teichmuller TQFT
Recorded 12 October 2026. Ka Ho Wong of Yale University presents "Asymptotics of the Kashaev--Luo--Vartanov partition function for cusped 3-manifolds and its connection to Teichmuller TQFT" at IPAM's Hyperbolic Structures and Quantum Invariants Workshop.Abstract: In the 2010s, Kashaev, Luo, and Vartanov introduced a Turaev--Viro--type partition function associated with any triangulation of a cusped 3-manifold admitting angle structures. Analogous to the relationship between Turaev--Viro and Reshetikhin--Turaev invariants, the KLV partition function is expected to be closely related to the partition function in Teichm\"uller TQFT. In this talk, I will describe how, for geometric triangulations, the asymptotics of the partition function capture both the hyperbolic volume and the Hodgson--Kricker--Siejakowski $\tau$-invariant. The main technique involves generalizing the Jones function in Teichm\"uller TQFT previously constructed by Fathi Ben Aribi and myself. As a corollary, we establish a relationship between the KLV partition function and the partition function in Teichm\"uller TQFT for knot complements in $S^3$.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-hyperbolic-structures-and-quantum-invariants/?tab=overview Receive SMS online on sms24.me
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