Microlocal theory of sheaves and Tamarkin's non displaceability theorem
By St'ephane Guillermou, P. Schapira. 2011
59 citations recorded by the source corpus.
This paper is an attempt to better understand Tamarkin's approach of classical non-displaceability theorems of symplectic geometry, based on the microlocal theory of sheaves, a theory whose main features we recall here. If the main theorems are due to Tamarkin, our proofs may be rather different and in the course of the paper we introduce some new notions and obtain new results which may be of interest.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c58ea1c6f64c657920aa55328b6c2ae44004897d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- St'ephane Guillermou
- Masaki Kashiwara
- P. Schapira
- A. D'agnolo
- D. Hernandez
- Amnon Yekutieli
- Vyjayanthi Chari
- Ghislain Fourier
In Mathematical Physics
- Masaki Kashiwara
- St'ephane Guillermou
- A. D'agnolo
- P. Schapira
- D. Hernandez
- Amnon Yekutieli
- Vyjayanthi Chari
- M. Porta
Citations in the corpus
- Riemann-Hilbert correspondence for holonomic D-modules (2013, background): “As we now explain, this is related to a construction by Tamarkin [28] (see also Guillermou-Schapira [7] for an exposition and some complementary results).”
- Sheaf quantization of Hamiltonian isotopies and applications to non displaceability problems (2010, background): “(Tamarkin’s ideas have also been exposed and developed in [9].)”