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

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