Spectral Viterbo isomorphism: complex-oriented versus framed
arXiv:2608.20289
Abstract
The Viterbo isomorphism relates the symplectic cohomology of a cotangent bundle to the homology of the free loop space of its base. We lift this to a relation of modules over (1) the complex bordism spectrum MU and (2) the sphere spectrum . In particular, by a result of Porcelli and the present author [BP26], it is not the case that, in general, the -level statement recovers the MU-level statement after base-change -- even in the case the base is spin.
30 pages