Vanishing cycles of symplectic foliations
F Gironella, K Niederkrüger, L Toussaint - arXiv preprint arXiv:2410.07090, 2024 - arxiv.org
Recent years have shown that the usual generalizations of taut foliations to higher
dimensions, based only on topological concepts, do not yield a theory comparable in …
dimensions, based only on topological concepts, do not yield a theory comparable in …
Conformal symplectic structures, foliations and contact structures
M Bertelson, G Meigniez - arXiv preprint arXiv:2107.08839, 2021 - arxiv.org
This paper presents two existence h-principles, the first for conformal symplectic structures
on closed manifolds, and the second for leafwise conformal symplectic structures on foliated …
on closed manifolds, and the second for leafwise conformal symplectic structures on foliated …
Fillability obstructions for high-dimensional confoliations
R Cardona, F Gironella - arXiv preprint arXiv:2410.06918, 2024 - arxiv.org
In this paper, we study confoliations in dimensions higher than three mostly from the
perspective of symplectic fillability. Our main result is that Massot-Niederkr\" uger-Wendl's …
perspective of symplectic fillability. Our main result is that Massot-Niederkr\" uger-Wendl's …
Asymptotically holomorphic theory for symplectic orbifolds
We extend Donaldson's asymptotically holomorphic techniques to symplectic orbifolds. More
precisely, given a compact symplectic orbifold such that the symplectic form defines an …
precisely, given a compact symplectic orbifold such that the symplectic form defines an …
Existence of conformal symplectic foliations on closed manifolds
F Gironella, L Toussaint - Mathematische Annalen, 2024 - Springer
We study the existence of symplectic and conformal symplectic (codimension-1) foliations on
closed manifolds of dimension≥ 5. Our main theorem, based on a recent result by Bertelson …
closed manifolds of dimension≥ 5. Our main theorem, based on a recent result by Bertelson …