C° symplectic geometry

Project Information

CSG

Grant agreement ID: 757585

DOI

10.3030/757585

Project closed

EC signature date 23 August 2017

Start date 1 October 2017

End date 31 March 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 345 282,00

EU contribution

€ 1 345 282,00

Coordinated by

TEL AVIV UNIVERSITY
Israel

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (17)

Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants

Author(s): Louis Ioos
Published in: Journal of Functional Analysis, Issue 282/8, 2022, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2022.109400

An Arnold-type principle for non-smooth objects

Author(s): Lev Buhovsky; Vincent Humilière; Sobhan Seyfaddini
Published in: Journal of Fixed Point Theory and Applications, Issue 24, 2022, ISSN 1661-7746
Publisher: Birkhauser Verlag
DOI: 10.1007/s11784-022-00934-z

On Fabry's quotient theorem

Author(s): Buhovsky, Lev
Published in: The American Mathematical Monthly, 2022, ISSN 0002-9890
Publisher: Mathematical Association of America
DOI: 10.1080/00029890.2022.2026179

On polynomials in spectral projections of spin operators

Author(s): Ood Shabtai
Published in: Letters in Mathematical Physics, 2021, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-021-01448-4

Spectral aspects of the Berezin transform

Author(s): Louis Ioos; Victoria Kaminker; Leonid Polterovich; Dor Shmoish
Published in: Annales Henri Lebesgue, Issue 3, 2020, Page(s) 1343-1387, ISSN 2644-9463
Publisher: Centre Mersenne (electronic publishing)
DOI: 10.5802/ahl.63

Berezin–Toeplitz Quantization and the Least Unsharpness Principle

Author(s): Louis Ioos; David Kazhdan; Leonid Polterovich
Published in: IMRN, Issue 2021/6, 2021, Page(s) 4625-4656, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa187

Quantization of symplectic fibrations and canonical metrics

Author(s): Louis Ioos; Leonid Polterovich
Published in: International Journal of Mathematics, Issue 34/08, 2023, ISSN 0129-167X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129167x2350043x

The action spectrum and $$C^0$$ C 0 symplectic topology

Author(s): Lev Buhovsky; Vincent Humilière; Sobhan Seyfaddini
Published in: Mathematische Annalen, Springer Verlag, Issue 380, 2021, Page(s) 239-316, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-021-02183-w

Almost representations of algebras and quantization

Author(s): Ioos, Louis; Kazhdan, David; Polterovich, Leonid
Published in: American Journal of Mathematics, Issue 145/5, 2023, Page(s) 1587-1629, ISSN 0002-9327
Publisher: The Johns Hopkins University Press
DOI: 10.1353/ajm.2023.a907706

Poisson brackets of partitions of unity on surfaces

Author(s): Lev Buhovsky; Alexander Logunov; Shira Tanny
Published in: Comment. Math. Helv., Issue 95, 2020, Page(s) 247-278, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/487

On Two Remarkable Groups of Area-Preserving Homeomorphisms

Author(s): Buhovsky, Lev
Published in: Mathematical Physics, Analysis, Geometry, Issue 19/2, 2023, Page(s) 339-373, ISSN 1812-9471
Publisher: ILTPE-B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
DOI: 10.15407/mag19.02.339

Quantitative h-principle in symplectic geometry

Author(s): Lev Buhovsky; Emmanuel Opshtein
Published in: Journal of Fixed Point Theory and Applications, Issue 24, 2022, ISSN 1661-7746
Publisher: Birkhauser Verlag
DOI: 10.1007/s11784-022-00947-8

Power substitution in quasianalytic Carleman classes

Author(s): Lev Buhovsky, Avner Kiro, Sasha Sodin
Published in: Israel Journal of Mathematics, Issue 235/1, 2020, Page(s) 79-90, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-019-1949-4

Geometric quantization of Hamiltonian flows and the Gutzwiller trace formula

Author(s): Louis Ioos
Published in: Letters in Mathematical Physics, 2020, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-020-01267-z

Eigenfunctions with Infinitely Many Isolated Critical Points

Author(s): Lev Buhovsky, Alexander Logunov, Mikhail Sodin
Published in: International Mathematics Research Notices, 2019, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz181

Anticanonically balanced metrics on Fano manifolds

Author(s): Louis Ioos
Published in: Annals of Global Analysis and Geometry, Issue 62, 2022, Page(s) 1-32, ISSN 0232-704X
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10455-022-09834-4

Commutators of Spectral Projections of Spin Operators

Author(s): Ood Shabtai
Published in: Journal of Lie Theory, Issue 31, 2021, Page(s) 599-624, ISSN 0949-5932
Publisher: Heldermann Verlag
DOI: 10.48550/arxiv.2008.00221

Other (12)

Topological entropy and orbit growth in link complements

Author(s): Matthias Meiwes
Published in: 2024
Publisher: Preprint

A local-to-global inequality for spectral invariants and an energy dichotomy for Floer trajectories

Author(s): Buhovsky, Lev; Tanny, Shira
Published in: 2022
Publisher: Preprint
DOI: 10.48550/arxiv.2212.01872

Persistent transcendental Bézout theorems

Author(s): Lev Buhovsky; Iosif Polterovich; Leonid Polterovich; Egor Shelukhin; Vukašin Stojisavljević
Published in: 2024
Publisher: Preprint
DOI: 10.48550/arxiv.2307.02937

Coarse nodal count and topological persistence

Author(s): Buhovsky, Lev; Payette, Jordan; Polterovich, Iosif; Polterovich, Leonid; Shelukhin, Egor; Stojisavljević, Vukašin
Published in: 2022
Publisher: Preprint
DOI: 10.48550/arxiv.2206.06347

New steps in $C^0$ symplectic and contact geometry of smooth submanifolds

Author(s): Stokić, Maksim
Published in: 2022
Publisher: Preprint
DOI: 10.48550/arxiv.2202.07996

On the barcode entropy of Lagrangian submanifolds

Author(s): Meiwes, Matthias
Published in: 2024
Publisher: Preprint
DOI: 10.48550/arxiv.2401.07034

C^0 -flexibility of Legendrian discs in R^5

Author(s): Maksim Stokić
Published in: 2024
Publisher: Preprint

C^0-stability of topological entropy for Reeb flows in dimension 3

Author(s): Alves, Marcelo R. R.; Dahinden, Lucas; Meiwes, Matthias; Pirnapasov, Abror
Published in: 2023
Publisher: Preprint
DOI: 10.48550/arxiv.2311.12001

Semi-Local Exotic Lagrangian Tori in Dimension Four

Author(s): Joé Brendel; Johannes Hauber; Joel Schmitz
Published in: 2024
Publisher: Preprint

Hamiltonian Classification of toric fibres and symmetric probes

Author(s): Brendel, Joé
Published in: 2023
Publisher: Preprint
DOI: 10.48550/arxiv.2302.00334

Flexibility of the adjoint action of the group of Hamiltonian diffeomorphisms

Author(s): Buhovsky, Lev; Stokić, Maksim
Published in: 2023
Publisher: Preprint
DOI: 10.48550/arxiv.2303.04106

Local exotic tori

Author(s): Brendel, Joé
Published in: 2023
Publisher: Preprint
DOI: 10.48550/arxiv.2310.11359