Floer theory with DG coefficients. Application to cotangent bundles. (with Jean-François Barraud, Mihai Damian and Alexandru Oancea) ArXiv 2404.07953. To appear in Memoir of EMS. pdf
Publications:
Higher dimensional Birkhoff attractors (with Marie-Claude Arnaud and Claude Viterbo, and an appendix of Maxime Zavidovique) Journal de l'Ecole Polytechnique. Mathématiques, Tome 13 5026), pp 759-808 pdf
Essential loops in completions of Hamiltonian groups (with Alexandre Jannaud and Rémi Leclercq) Annales Scientifiques de la Faculté des Sciences de Toulouse. 34, no. 5 (2025)pdf
Subleading asymptotics of link spectral invariants and homeomorphism
groups of surfaces (with Dan Cristofaro-Gardiner, Cheuk-Yu Mak, Sobhan Seyfaddini and Ivan Smith). Annales de l'ENS. 58, fasc. 5 (2025) pdf
The γ-support as a micro-support (with Tomohiro Asano, Stéphane Guillermou, Yuichi Ike and Claude Viterbo). Comptes Rendus de l'académie des sciences, Volume 361 (2023), p. 1333-1340. pdf
Quantitative Heegaard Floer cohomology and the Calabi invariant (with Dan Cristofaro-Gardiner, Cheuk-Yu Mak, Sobhan Seyfaddini and Ivan Smith). Forum of Math, Pi. 10. 2022. pdf
PFH spectral invariants on the two-sphere and the large scale geometry of Hofer's metric (with Dan Cristofaro-Gardiner and Sobhan Seyfaddini). J. Eur. Math. Soc. 26 (2024), no. 12, pp. 4537–4584.pdf
Proof of the simplicity conjecture (with Dan Cristofaro-Gardiner and Sobhan Seyfaddini) Annals of Math. (2), 199:181–257, 2024. pdf
Un lemme de fermeture C∞, d'après Asaoka et Irie. Séminaire Bourbaki, nov 2019. Astérisque 430 (2021). pdf, video.
An Arnold-type principle for non-smooth objects (with Lev Buhovsky and Sobhan Seyfaddini). Journal of Fixed Point theory, 24, 2022. Special issue in honnour of Claude Viterbo. ArXiv 1909.07081. pdf
The action spectrum and C0 symplectic topology (with Lev Buhovsky and Sobhan Seyfaddini). Mathematische Annalen, 380(1), 293-316. 2021. pdf
A C0 counter example to the Arnold conjecture (with Lev Buhovsky and Sobhan Seyfaddini). Inventiones Mathematicae, 213(2):759–809, 2018. pdf
Towards a dynamical interpretation of spectral invariants on surfaces (with Frédéric Le Roux and Sobhan Seyfaddini). Geometry & Topology 20-4 (2016), 2253-2334. pdf
Reduction of symplectic homeomorphisms (with Rémi Leclercq and Sobhan Seyfaddini). Annales de l'ENS 49 (2016), no. 3, 633-668. pdf
Coisotropic rigidity and C0-symplectic topology (with Rémi Leclercq and Sobhan Seyfaddini). Duke Mathematical Journal 164 (2015), n°4, 767-799. pdf
New Energy-Capacity-like inequalities and uniqueness of continuous Hamiltonians (with Rémi Leclercq and Sobhan Seyfaddini). Commentarii Mathematici Helvetici 90 (2015), 1-21 pdf
Hofer's distance on diameters and the Maslov index. Int Math Res Notices 15 (2012), 3415-3433 pdf
On the geometry of the space of smooth fibrations (with Nicolas Roy). Annals of Global Analysis and Geometry. 37 (2010), no. 3, 307-320 pdf
The Calabi invariant for some groups of homeomorphisms. Journal of Symplectic Geometry. 9 (2011), 107-117 pdf
Hamiltonian pseudo-representations. Commentarii Mathematici Helvetici 84 (2009), 571-585. pdf
On some completions of the space of Hamiltonian maps.
Bulletin de la Société Mathématique de France. 136, fascicule 3, 2008. pdf
Lecture notes for a mini-course " Symplectic action selectors and applications", given in the winter school held in Padova, in Feb 2018: pdf.
Lecture notes: Introduction à la topologie symplectique, homologie de Floer (2017 - in French): pdf.
A very brief introduction to C0-symplectic topology (written in July 2012 and completely outdated! For an updated treatment, have a look at Chapter 2 in my HDR.): pdf.