The symplectic geometry of anti-self-dual Einstein metrics

Project Information

SymplecticEinstein

Grant agreement ID: 646649

DOI

10.3030/646649

Project closed

EC signature date 31 March 2015

Start date 1 September 2015

End date 31 August 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 162 880,00

EU contribution

€ 1 162 880,00

Coordinated by

UNIVERSITE LIBRE DE BRUXELLES
Belgium

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 (14)

Symplectic domination

Author(s): Joel Fine, Dmitri Panov
Published in: Bulletin of the London Mathematical Society, Issue 53/1, 2021, Page(s) 100-103, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.12402

Local rigidity of Einstein 4-manifolds satisfying a chiral curvature condition

Author(s): Joel Fine, Kirill Krasnov, Michael Singer
Published in: Mathematische Annalen, Issue 379/1-2, 2021, Page(s) 569-588, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-020-02097-z

Yang–Mills connections on conformally compact manifolds

Author(s): Marco Usula
Published in: Letters in Mathematical Physics, Issue 111/2, 2021, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-021-01370-9

Obstructions for Symplectic Lie Algebroids

Author(s): Ralph L. Klaasse
Published in: Symmetry, Integrability and Geometry: Methods and Applications, 2020, ISSN 1815-0659
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/sigma.2020.121

Reeb orbits that force topological entropy

Author(s): MARCELO R. R. ALVES, ABROR PIRNAPASOV
Published in: Ergodic Theory and Dynamical Systems, 2021, Page(s) 1-44, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2021.80

An ambient approach to conformal geodesics

Author(s): Joel Fine, Yannick Herfray
Published in: Communications in Contemporary Mathematics, 2021, Page(s) 2150009, ISSN 0219-1997
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0219199721500097

Hypersymplectic 4-manifolds, the $G_{2}$ -Laplacian flow, and extension assuming bounded scalar curvature

Author(s): Joel Fine, Chengjian Yao
Published in: Duke Mathematical Journal, Issue 167/18, 2018, Page(s) 3533-3589, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2018-0040

Cohomogeneity-one G2-Laplacian flow on the 7-torus

Author(s): Hongnian Huang, Yuanqi Wang, Chengjian Yao
Published in: Journal of the London Mathematical Society, Issue 98/2, 2018, Page(s) 349-368, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12137

Novikov Fundamental Group

Author(s): J-F Barraud, A Gadbled, R Golovko, H V Lê
Published in: International Mathematics Research Notices, 2019, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz032

Limits of Riemannian 4-manifolds and the sypmlectic geometry of their twistor spaces

Author(s): Joel Fine
Published in: Transactions of the London Mathematical Society, Issue Volume 4, Issue 1, 2017, Page(s) 100-109, ISSN 2052-4986
Publisher: John Wiley and Sons
DOI: 10.1112/tlm3.12003

The space of hyperkähler metrics on a 4-manifold with boundary

Author(s): Joel Fine, Jason Lotay, Michael Singer
Published in: The Forum of Mathematics, Sigma, Issue Volume 5, issue 6, 2017, Page(s) 50pp, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2017.3

Asymptotically hyperbolic connections

Author(s): Joel Fine, Yannick Herfray, Kirill Krasnov, Carlos Scarinci
Published in: Classical and Quantum Gravity, Issue 33/18, 2016, Page(s) 185011, ISSN 0264-9381
Publisher: Institute of Physics Publishing
DOI: 10.1088/0264-9381/33/18/185011

A report on the hypersymplectic flow

Author(s): Joel Fine, Chengjian Yao
Published in: Pure and Applied Mathematics Quarterly, Issue 15/4, 2019, Page(s) 1219-1260, ISSN 1558-8599
Publisher: International Press
DOI: 10.4310/pamq.2019.v15.n4.a7

Examples of compact Einstein four-manifolds with negative curvature

Author(s): Joel Fine, Bruno Premoselli
Published in: Journal of the American Mathematical Society, Issue 33/4, 2020, Page(s) 991-1038, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/944

Other (6)

Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors

Author(s): Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini, Roman Golovko
Published in: Preprint submitted for publication, 2017
Publisher: ArXiv

Poisson structures of divisor type

Author(s): Ralph L Klasse
Published in: 2018
Publisher: submitted for publication

Fibrations in semi-toric and generalized complex geometry

Author(s): Cavalcanti, Gil R.; Klaasse, Ralph L.; Witte, Aldo
Published in: 2020
Publisher: arxiv

C^0 robustness of topological entropy for geodesic flows

Author(s): Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes, Louis Merlin
Published in: 2021
Publisher: arxiv

Entropy collapse versus entropy rigidity for Reeb and Finsler flows

Author(s): Abbondandolo, Alberto; Alves, Marcelo R. R.; Saglam, Murat; Schlenk, Felix
Published in: 2021
Publisher: arxiv

Self-crossing stable generalized complex structures

Author(s): Cavalcanti, Gil R.; Klaasse, Ralph L.; Witte, Aldo
Published in: 2020
Publisher: arxiv

Conference proceedings (1)

The number of Hamiltonian fixed points on symplectically aspherical manifolds.

Author(s): Georgios Dimitroglou Rizell, Roman Golovko
Published in: Proceedings of the 23rd Gokova Geometry and Topology Conference, Issue 23, 2017, Page(s) 138-150, ISBN 978-1-57146-340-1
Publisher: International Press