Zobrazeno 1 - 10
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pro vyhledávání: '"Leclercq, Rémi"'
Autor:
Chassé, Jean-Philippe, Leclercq, Rémi
This paper is concerned with the following problem: given a Lagrangian $L$ and a Hamiltonian diffeomorphism $\varphi$ such that $\varphi(L)$ is in a small neighbourhood $U$ of $L$, does there exist another Hamiltonian isotopy from $L$ to $\varphi(L)$
Externí odkaz:
http://arxiv.org/abs/2410.04158
We initiate the study of the fundamental group of natural completions of the group of Hamiltonian diffeomorphisms, namely its $C^0$-closure $\overline{\mathrm{Ham}}(M,\omega)$ and its completion with respect to the spectral norm $\widehat{\mathrm{Ham
Externí odkaz:
http://arxiv.org/abs/2311.12164
Autor:
Chassé, Jean-Philippe, Leclercq, Rémi
We prove a H\"older-type inequality for the Hausdorff distance between Lagrangians with respect to the Lagrangian spectral distance or the Hofer-Chekanov distance in the spirit of Joksimovi\'c-Seyfaddini [arXiv:2207.11813]. This inequality is establi
Externí odkaz:
http://arxiv.org/abs/2308.16695
Autor:
Anjos, Sílvia, Leclercq, Rémi
Publikováno v:
Pacific J. Math. 290 (2017) 257-272
The main purpose of this note is to exhibit a Hamiltonian diffeomorphism loop undetected by the Seidel morphism of certain 2-point blow-ups of $S^2 \times S^2$, exactly one of which being monotone. As side remarks, we show that Seidel's morphism is i
Externí odkaz:
http://arxiv.org/abs/1602.05787
Autor:
Leclercq, Rémi, Zapolsky, Frol
Since spectral invariants were introduced in cotangent bundles via generating functions by Viterbo in the seminal paper "Symplectic topology as the geometry of generating functions," they have been defined in various contexts, mainly via Floer homolo
Externí odkaz:
http://arxiv.org/abs/1505.07430
Autor:
Leclercq, Rémi
Thèse numérisée par la Direction des bibliothèques de l'Université de Montréal.
Externí odkaz:
http://hdl.handle.net/1866/18143
In a previous article, we proved that symplectic homeomorphisms preserving a coisotropic submanifold C, preserve its characteristic foliation as well. As a consequence, such symplectic homeomorphisms descend to the reduction of the coisotropic C. In
Externí odkaz:
http://arxiv.org/abs/1407.6330
Autor:
Anjos, Sílvia, Leclercq, Rémi
Following McDuff and Tolman's work on toric manifolds [McDT06], we focus on 4-dimensional NEF toric manifolds and we show that even though Seidel's elements consist of infinitely many contributions, they can be expressed by closed formulas. From thes
Externí odkaz:
http://arxiv.org/abs/1406.7641
Publikováno v:
Duke Math. J. 164, no. 4 (2015), 767-799
We prove that symplectic homeomorphisms, in the sense of the celebrated Gromov-Eliashberg Theorem, preserve coisotropic submanifolds and their characteristic foliations. This result generalizes the Gromov-Eliashberg Theorem and demonstrates that prev
Externí odkaz:
http://arxiv.org/abs/1305.1287
We prove a new variant of the energy-capacity inequality for closed rational symplectic manifolds (as well as certain open manifolds such as cotangent bundle of closed manifolds...) and we derive some consequences to C^0-symplectic topology. Namely,
Externí odkaz:
http://arxiv.org/abs/1209.2134