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math.GT2026
Turaev-Viro invariants for cusped -manifolds
Tianyue Liu, Shuang Ming, Xin Sun +2
We define a family of Turaev-Viro type invariants for hyperbolic -manifolds with cusp ends, extending the invariants introduced in \cite{LMSWY} for hyperbolic -manifolds with…
math-ph2026
Ward identities: a geometric point of view and applications
Baojun Wu, Shengjing Xu
The work of Baverez, Guillarmou, Kupiainen, and Rhodes [BGKR24] is the starting point of this paper. It shows that analytic changes of boundary parametrizations act differentiably…
cond-mat.stat-mech2026
Exact solution of three-point functions in critical loop models
Morris Ang, Gefei Cai, Jesper Lykke Jacobsen +4
We propose an exact formula for three-point functions on the sphere in critical loop models with primary fields characterized by legs and a parameter \(s\) that de…