46 citations · 111 across the 15 of their papers we have counts for
16 papers
Density of fibers for the filtered Fukaya category of
Stéphane Guillermou, Claude Viterbo, Bingyu Zhang
We answer a question of Biran and Cornea about the density of iterated cones of fibers in the Fukaya category of a cotangent bundle. We prove that indeed if we take a dense set of…
Regular Lagrangians are smooth Lagrangians
Tomohiro Asano, Stéphane Guillermou, Yuichi Ike +1
We prove that for any element in the -completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle, if its -support is a smooth Lagrangian su…
The -support as a micro-support
Tomohiro Asano, Stéphane Guillermou, Vincent Humilière +2
We prove that for any element in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the -…
Viterbo's spectral bound conjecture for homogeneous spaces
Stéphane Guillermou, Nicolas Vichery
We prove a conjecture of Viterbo about the spectral distance on the space of compact exact Lagrangian submanifolds of a cotangent bundle in the case where is a compact h…
The singular support of sheaves is -coisotropic
Stéphane Guillermou, Claude Viterbo
We prove that the singular support of an element in the derived category of sheaves is -coisotropic, a notion defined in [Vit22]. We prove that this implies that it is involutiv…
Twisted generating functions and the nearby Lagrangian conjecture
Mohammed Abouzaid, Sylvain Courte, Stéphane Guillermou +1
We prove that, for closed exact embedded Lagrangian submanifolds of cotangent bundles, the homomorphism of homotopy groups induced by the stable Lagrangian Gauss map vanishes. In p…