I will discuss a field-theoretic interpretation of Ruelle zeta function, which "counts" prime geodesics on hyperbolic manifolds, as the partition function for a topological field theory (BF) with an axial-type gauge fixing condition available on the unit sphere bundle of the hyperbolic manifold. This suggests a rephrasing of a conjecture due to Fried, on the equivalence between Ruelle zeta function and analytic torsion, as gauge fixing independence in the Batalin--Vilkovisky formalism.
This is based on joint works with C. Hadfield and S. Kandel, as well as with T. Stucker.
De Pavel Mnev
De Jae-Suk Park
De Ruben Louis
De Thomas Strobl
De Hsuan-Yi Liao
De Christian Blohmann
De Tilmann Wurzbacher
De Owen Gwilliam
De Adrien Brochier
De Jérémie Pierard de Maujouy
De Pavol Severa
De Roberta Anna Iseppi
De Alain Connes
De Teresa Krick
De Teresa Krick
