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Author

Bao-Jun Wu

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Preprint Aug 2026

$\mathrm {U}_{q\tilde q}\mathfrak{sl}(2;\mathbb R)$ Turaev-Viro invariants for cusped $3$-manifolds

We define a family of Turaev-Viro type invariants for hyperbolic $3$-manifolds with cusp ends, extending the invariants introduced in \cite{LMSWY} for hyperbolic $3$-manifolds with totally geodesic boundary. These invariants are constructed from what we call the ideal $\mathrm{U}_{q\tilde q}\mathfrak{sl}(2;\mathbb R)$-...

Tianyue Liu, Shuang Ming, Xin Sun et al. · 0 citations
Preprint Oct 2026

Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part II: spectral resolution and bootstrap

This paper is the second part of the proof of the conformal bootstrap for Liouville conformal field theory on compact surfaces with boundary. It is devoted to the spectral theory of the half-annulus semigroup and to the resulting bootstrap formula. Building on the Segal axioms and gluing properties established in Part~...

C. Guillarmou, R'emi Rhodes, Bao-Jun Wu · 0 citations
Preprint Aug 2026

Ward identities: a geometric point of view and applications

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 on Liouville amplitudes, with derivative given by Virasoro operators and a scalar anomaly term. We compute this scalar term. Its holomorphic...

Bao-Jun Wu, Sheng-Jun Xu · 0 citations

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