Microlocal condition for non-displaceablility
By D. Tamarkin. 2008
90 citations recorded by the source corpus.
We formulate a sufficient condition for non-displaceability (by Hamiltonian symplectomorphisms which are identity outside of a compact) of a pair of subsets in a cotangent bundle. This condition is based on micro-local analysis of sheaves on manifolds by Kashiwara-Schapira. This condition is used to prove that the real projective space and the Clifford torus inside the complex projective space are mutually non-displaceable
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/63c615155a2208854bbbbe34e4e2e520b9273190
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In Geometry and Topology
- A. D'agnolo
- Masaki Kashiwara
- D. Hernandez
- Vyjayanthi Chari
- Ghislain Fourier
- C. Schnell
- S. Loktev
- P. Littelmann
In Mathematical Physics
Citations in the corpus
- Riemann-Hilbert correspondence for holonomic D-modules (2013, methodology): “In his study of symplectic topology, Tamarkin [28] uses the techniques of [13] in order to treat involutive subsets of T ∗M which are not necessarily conic.”