Microlocal condition for non-displaceability

Dmitry E Tamarkin*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationAlgebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013
EditorsMichael Hitrik, Dmitry Tamarkin, Boris Tsygan, Steve Zelditch
PublisherSpringer New York LLC
Pages99-223
Number of pages125
ISBN (Print)9783030015862
DOIs
StatePublished - Jan 1 2018
EventWorkshop on Algebraic and Analytic Microlocal Analysis, AAMA 2013 - Evanston, United States
Duration: May 20 2013May 24 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume269
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherWorkshop on Algebraic and Analytic Microlocal Analysis, AAMA 2013
CountryUnited States
CityEvanston
Period5/20/135/24/13

Fingerprint

Clifford Torus
Microlocal Analysis
Cotangent Bundle
Complex Projective Space
Sheaves
Projective Space
Subset
Sufficient Conditions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Tamarkin, D. E. (2018). Microlocal condition for non-displaceability. In M. Hitrik, D. Tamarkin, B. Tsygan, & S. Zelditch (Eds.), Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013 (pp. 99-223). (Springer Proceedings in Mathematics and Statistics; Vol. 269). Springer New York LLC. https://doi.org/10.1007/978-3-030-01588-6_3
Tamarkin, Dmitry E. / Microlocal condition for non-displaceability. Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013. editor / Michael Hitrik ; Dmitry Tamarkin ; Boris Tsygan ; Steve Zelditch. Springer New York LLC, 2018. pp. 99-223 (Springer Proceedings in Mathematics and Statistics).
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Tamarkin, DE 2018, Microlocal condition for non-displaceability. in M Hitrik, D Tamarkin, B Tsygan & S Zelditch (eds), Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013. Springer Proceedings in Mathematics and Statistics, vol. 269, Springer New York LLC, pp. 99-223, Workshop on Algebraic and Analytic Microlocal Analysis, AAMA 2013, Evanston, United States, 5/20/13. https://doi.org/10.1007/978-3-030-01588-6_3

Microlocal condition for non-displaceability. / Tamarkin, Dmitry E.

Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013. ed. / Michael Hitrik; Dmitry Tamarkin; Boris Tsygan; Steve Zelditch. Springer New York LLC, 2018. p. 99-223 (Springer Proceedings in Mathematics and Statistics; Vol. 269).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Tamarkin DE. Microlocal condition for non-displaceability. In Hitrik M, Tamarkin D, Tsygan B, Zelditch S, editors, Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013. Springer New York LLC. 2018. p. 99-223. (Springer Proceedings in Mathematics and Statistics). https://doi.org/10.1007/978-3-030-01588-6_3