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Séminaire de Géométrie

Perturbative invariants of cusped hyperbolic 3-manifolds

Campbell Wheeler

( Paris (IHES) )

Salle 2

le 22 septembre 2023 à 10:45

In this talk, I will discuss invariants of hyperbolic three manifolds. They take the form of formal power series with coefficients in the trace field of the manifold. These invariants were described in terms of the combinatorial data of a triangulation by Dimofte-Garoufalidis but their invariance given equivalent triangulation has remained conjectural until now. While these series are natural invariants that conjecturally give asymptotics of quantum invariants of the manifold, their geometric origins remain a mystery.