Symplectic embedding problems, old and new

Felix Schlenk

Type: Article

Publication Date: 2017-08-11

Citations: 41

DOI: https://doi.org/10.1090/bull/1587

Abstract

We describe old and new motivations to study symplectic embedding problems, and we discuss a few of the many old and the many new results on symplectic embeddings.

Locations

Bulletin of the American Mathematical Society - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	embedding problems in symplectic geometry	2014	Emmanuel Opshtein
+ PDF Chat	Book Review: Embedding problems in symplectic geometry	2006	Lisa Traynor
+ PDF Chat	Embedding Problems in Symplectic Geometry	2005	Felix Schlenk
+	Dusa McDuff and symplectic geometry.	2020	Felix Schlenk
+	Dusa McDuff and symplectic geometry	2020	Felix Schlenk
+	Open problems	2017	Dusa McDuff Dietmar Salamon
+ PDF Chat	New obstructions to symplectic embeddings	2013	Richard Hind Ely Kerman
+	Symplectic Topology: An Introduction	1995	Claude Viterbo
+ PDF Chat	Recent progress on symplectic embedding problems in four dimensions	2011	Michael Hutchings
+	Lagrangian barriers and symplectic embeddings	2001	Paul Biran
+	Remarks on Symplectic Geometry	2019	Jae-Hyun Yang
+ PDF Chat	Recent results in symplectic geometry	1989	Marc Chaperon
+	Uniqueness of Symplectic Structures	2012	Dietmar Salamon
+	Uniqueness of Symplectic Structures	2012	Dietmar Salamon
+	Symplectic embeddings in dimension 4	2014	Daan Frenkel
+	Stabilized Symplectic Embeddings	2017	Richard Hind
+	A concise introduction to symplectic geometry	2020	Leonid Polterovich Daniel Rosen Karina Samvelyan Jun Zhang
+ PDF Chat	Closed 2-forms and an embedding theorem for symplectic manifolds	1977	David Tischler
+	Symplectic packings and algebraic geometry	1994	Dusa McDuff Leonid Polterovich
+	Symplectic Spaces And Ear-Decomposition Of Matroids	2006	Balázs Szegedy Christian Szegedy

Works That Cite This (38)

Action	Title	Year	Authors
+ PDF Chat	Irreversibility from staircases in symplectic embeddings	2018	Anthony J. Creaco Nikolaos Kalogeropoulos
+	Higher symplectic capacities	2019	Kyler Siegel
+ PDF Chat	On Geodesic Flow and Energy Functional on Riemannian Manifolds	2021	Yang Liu
+ PDF Chat	Examples around the strong Viterbo conjecture	2022	Jean Gutt Michael Hutchings Vinicius G. B. Ramos
+	Irrational Triangles with Polynomial Ehrhart Functions	2019	Dan Cristofaro‐Gardiner Teresa Xueshan Li Richard P. Stanley
+ PDF Chat	Coarse-graining and symplectic non-squeezing	2021	Nikolaos Kalogeropoulos
+	Symplectic embeddings of the ℓp-sum of two discs	2021	Yaron Ostrover Vinicius G. B. Ramos
+ PDF Chat	Symplectic embeddings into disk cotangent bundles	2022	Brayan Ferreira Vinicius G. B. Ramos
+ PDF Chat	Real normal operators and Williamson’s normal form	2019	B. V. Rajarama Bhat Tiju Cherian John
+ PDF Chat	Full ellipsoid embeddings and toric mutations	2022	Roger Casals Renato Feres de Carvalho Vianna

Works Cited by This (127)

Action	Title	Year	Authors
+ PDF Chat	Beyond ECH capacities	2016	Michael Hutchings
+ PDF Chat	Packing stability for symplectic $4$-manifolds	2015	Olguţa Buşe Richard Hind Emmanuel Opshtein
+ PDF Chat	Embedding Problems in Symplectic Geometry	2005	Felix Schlenk
+	From Symplectic Packing to Algebraic Geometry and Back	2001	Paul Biran
+	Geometry and Billiards	2005	Serge Tabachnikov
+	J-Holomorphic Curves and Symplectic Topology	2004	Dusa McDuff Dietmar Salamon
+	Gromov width of polygon spaces	2015	Alessia Mandini Milena Pabiniak
+ PDF Chat	Uniqueness of Symplectic Canonical Class, Surface Cone and Symplectic Cone of 4-Manifolds with B+ = 1	2001	Tian-Jun Li Ai-Ko Liu
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Introduction to the ℎ-Principle	2024	Kai Cieliebak Yakov Eliashberg N. Mishachev