Ruelle Zeta Function from Field Theory
Michele Schiavina (ETH Zürich)
Abstract: I will discuss a field-theoretic interpretation of Ruelle's zeta function, which "counts" prime geodesics on hyperbolic manifolds, as the partition function for a topological field theory (BF) with an unusual gauge fixing condition available on contact manifolds. This suggests a rephrasing of a conjecture due to Fried, on the equivalence between Ruelle's zeta function (at zero) and the analytic torsion, as gauge-fixing independence in the Batalin--Vilkovisky formalism.
Audience: researchers in the discipline
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