Baptiste Serraille

A counterexample to the generalized Viterbo conjecture on the spectral distance in a disc cotangent bundle

We prove the unboundedness of the spectral distance on the space of Lagrangians Hamiltonian isotopic to the zero section within the disc cotangent bundle of a closed manifold satisfying some topological assumptions. This disproves the generalization of a conjecture due to Claude Viterbo. The proof relies on a direct co...