Jean Gutt

Recherche

Thème

Géométrie et Topologie Symplectique et de Contact

Mots-clés

Plongements symplectiques, capacités symplectiques, orbites de Reeb, Homologie équivariante

Publications

Publications internationales

Preprints:

Characterizing symplectic capacities on ellipsoids, Preprint arXiv:2312.06476 (joint with Vinicius G. B. Ramos)
Coarse distance from dynamically convex to convex, Preprint arXiv:2308.06604 (joint with Julien Dardennes, Vinicius G. B. Ramos and Jun Zhang)
Cube normalized symplectic capacities, Preprint arXiv:2208.13666 (joint with Miguel Pereira and Vinicius G. B. Ramos)
The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities, Preprint available upon request (joint with Vinicius G. B. Ramos)

Published or accepted papers:

Almost complex structures, transverse complex structures, and transverse Dolbeault cohomology, accepted for publication in Revista Matemática Iberoamericana, preprint arXiv:2208.12668 (joint with Michel Cahen and Simone Gutt)
Symplectic non-convexity of toric domains, accepted for publication in Communications in Contemporary Mathematics, preprint arXiv:2203.05448 (joint with Julien Dardennes and Jun Zhang)
Algorithmic Symplectic Packing, accepted for publication in Experimental Mathematics, preprint arXiv:2106.10126 (joint with Greta Fischer and Michael Jünger)
Examples around the strong Viterbo conjecture, Journal of Fixed Point Theory and Applications, Volume 24, 41 (2022) (joint with Michael Hutchings and Vinicius G. B. Ramos)
Two closed orbits for non-degenerate Reeb flows, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 170 (2021), no 3, 625--660 (joint with Miguel Abreu, Jungsoo Kang and Leonardo Macarini)
Symplectically knotted codimension-zero embeddings of domains in $\mathbb{R}^4$, Duke Mathematical Journal 168 (2019), no. 12, 2299--2363 (with Mike Usher)
Symplectic capacities from positive $S^1$-equivariant symplectic homology, Algebraic & Geometric Topology, 18 (2018) 3537--3600 (with Michael Hutchings).
Periodic Reeb orbits on prequantization bundles, Journal of Modern Dynamics, Volume 12, 2018, pp. 123--150 (with Peter Albers and Doris Hein).
The positive equivariant symplectic homology as an invariant for some contact manifolds, Journal of Symplectic Geometry, Vol. 15, No. 4 (2017), 1019--1069.
On the minimal number of periodic orbits on some hypersurfaces in $\mathbb{R}^{2n}$, Annales de l'institut Fourier, 66 no.6 (2016), p. 2485--2505 (with Jungsoo Kang).
Generalized Conley-Zehnder index, Annales de la faculté des sciences de Toulouse, 23, No. 4, 907--932 (2014).
Normal Forms for Symplectic Matrices, Portugalia Mathematicae 71, No. 2, 109--139 (2014).
Roots in 2-spherical apartments, Advances in Geometry 12, No. 2, 229--238 (2012) (with Bernhard Mühlherr).

Other:

Symplect'hearing the contact horizon and contacting the symplectic inner beauty, Habilitation à Diriger des Recherches, July 2021.
Lecture Notes on $S^1$-equivariant symplectic homology, 2018.
On the minimal number of periodic Reeb orbits on a contact manifold, Memoir which won the "Concours annuel 2016 de l'Académie Royale de Belgique'' (with Miguel Abreu, Jungsoo Kang and Leonardo Macarini).
On the minimal number of periodic Reeb orbits on a contact manifold, PhD thesis, June 2014.
The Conley-Zehnder index for a path of symplectic matrices, preprint arXiv:1201.3728 (Expository paper)
Dynamique de Reeb et homologie de contact, Master thesis (in french), June 2010