Spectral selectors and contact orderability
S Allais, PA Arlove - arxiv preprint arxiv:2309.10578, 2023 - arxiv.org
We study the notion of orderability of isotopy classes of Legendrian submanifolds and their
universal covers, with some weaker results concerning spaces of contactomorphisms. Our …
universal covers, with some weaker results concerning spaces of contactomorphisms. Our …
On the rigidity of translated points
D Cant, J Hedicke - arxiv preprint arxiv:2409.08962, 2024 - arxiv.org
We show that there exist contact isotopies of the standard contact sphere whose time-1
maps do not have any translated points which are optimally close to the identity in the …
maps do not have any translated points which are optimally close to the identity in the …
Rabinowitz Floer homology for prequantization bundles and Floer Gysin sequence
J Bae, J Kang, S Kim - Mathematische Annalen, 2024 - Springer
Let Y be a prequantization bundle over a closed spherically monotone symplectic manifold
Σ. Adapting an idea due to Diogo and Lisi, we study a split version of Rabinowitz Floer …
Σ. Adapting an idea due to Diogo and Lisi, we study a split version of Rabinowitz Floer …
Contact non-squeezing at large scale via generating functions
Using SFT techniques, Eliashberg, Kim and Polterovich (2006) proved that if $\pi R_2^ 2\leq
K\leq\pi R_1^ 2$ for some integer $ K $ then there is no contact squeezing in $\mathbb …
K\leq\pi R_1^ 2$ for some integer $ K $ then there is no contact squeezing in $\mathbb …
On Sandon-type metrics for contactomorphism groups
For certain contact manifolds admitting a 1-periodic Reeb flow we construct a conjugation-
invariant norm on the universal cover of the contactomorphism group. With respect to this …
invariant norm on the universal cover of the contactomorphism group. With respect to this …
Non-orderability and the contact Hofer norm
J Hedicke, E Shelukhin - arxiv preprint arxiv:2411.19887, 2024 - arxiv.org
We relate non-orderability in contact topology to shortening in the contact Hofer norm.
Combined with considerations of open books, this provides many new examples of non …
Combined with considerations of open books, this provides many new examples of non …
Homogeneous quasimorphisms, -topology and Lagrangian intersection
Y Kawamoto - Commentarii Mathematici Helvetici, 2022 - ems.press
Homogeneous quasimorphisms, C0-topology and Lagrangian intersection Page 1 Comment.
Math. Helv. 97 (2022), 209–254 DOI 10.4171/CMH/530 Commentarii Mathematici Helvetici © …
Math. Helv. 97 (2022), 209–254 DOI 10.4171/CMH/530 Commentarii Mathematici Helvetici © …
On the Hofer–Zehnder conjecture on via generating functions
S Allais - International Journal of Mathematics, 2022 - World Scientific
We use generating function techniques developed by Givental, Théret and ourselves to
deduce a proof in ℂ P d of the homological generalization of Franks theorem due to …
deduce a proof in ℂ P d of the homological generalization of Franks theorem due to …
Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence
P Albers, J Kang - Advances in Mathematics, 2023 - Elsevier
This article is concerned with the Rabinowitz Floer homology of negative line bundles. We
construct a refined version of Rabinowitz Floer homology and study its properties. In …
construct a refined version of Rabinowitz Floer homology and study its properties. In …
Capacities from the Chiu-Tamarkin complex
B Zhang - arxiv preprint arxiv:2103.05143, 2021 - arxiv.org
In this paper, we construct a sequence $(c_k) _ {k\in\mathbb {N}} $ of symplectic capacities
based on the Chiu-Tamarkin complex $ C_ {T,\ell} $, a $\mathbb {Z}/\ell $-equivariant …
based on the Chiu-Tamarkin complex $ C_ {T,\ell} $, a $\mathbb {Z}/\ell $-equivariant …