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pro vyhledávání: '"Giroux, Emmanuel"'
Autor:
Giroux, Emmanuel
This paper presents a few remarks about the topology of symplectic hyperplane sections and the geometry of their complements. In particular, it contains a detailed proof of the following result already stated with hints in [Gi]: for sufficiently larg
Externí odkaz:
http://arxiv.org/abs/1803.05929
Autor:
Giroux, Emmanuel
Liouville domains have become central objects in symplectic and contact geometry. However, the auxiliary data they involve --- namely, Liouville forms --- and the non-compactness of their completions generate some inconvenience. The notion of ideal L
Externí odkaz:
http://arxiv.org/abs/1708.08855
Autor:
Giroux, Emmanuel, Massot, Patrick
Publikováno v:
Compositio Math. 153 (2017) 294-312
In this paper, we determine the group of contact transformations modulo contact isotopies for Legendrian circle bundles over closed surfaces of nonpositive Euler characteristic. These results extend and correct those presented by the first author in
Externí odkaz:
http://arxiv.org/abs/1506.01162
Autor:
Giroux, Emmanuel, Pardon, John
Publikováno v:
Geom. Topol. 21 (2017) 963-997
We show that every Stein or Weinstein domain may be presented (up to deformation) as a Lefschetz fibration over the disk. The proof is an application of Donaldson's quantitative transversality techniques.
Comment: 28 pages. Final version to appe
Comment: 28 pages. Final version to appe
Externí odkaz:
http://arxiv.org/abs/1411.6176
Let V be a closed 3-manifold. In this paper we prove that the homotopy classes of plane fields on V that contain tight contact structures are in finite number and that, if V is atoroidal, the isotopy classes of tight contact structures are also in fi
Externí odkaz:
http://arxiv.org/abs/0805.3051
Autor:
Giroux, Emmanuel, Goodman, Noah
Publikováno v:
Geom. Topol. 10 (2006) 97-114
We show that two open books in a given closed, oriented three-manifold admit isotopic stabilizations, where the stabilization is made by successive plumbings with Hopf bands, if and only if their associated plane fields are homologous. Since this con
Externí odkaz:
http://arxiv.org/abs/math/0509555
This is the less official, English version of the proof of the fact that every closed atoroidal 3-manifold carries finitely many isotopy classes of tight contact structures.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/math/0305210
We present a sketch of the proof of the following theorems: (1) Every 3-manifold has only finitely many homotopy classes of 2-plane fields which carry tight contact structures. (2) Every closed atoroidal 3-manifold carries finitely many isotopy class
Externí odkaz:
http://arxiv.org/abs/math/0305186
Autor:
Giroux, Emmanuel
Publikováno v:
Proceedings of the ICM, Beijing 2002, vol. 2, 405--414
On d\'ecrit ici des relations entre la g\'eom\'etrie globale des vari\'et\'es de contact closes et celle de certaines vari\'et\'es symplectiques, \`a savoir les vari\'et\'es de Stein compactes. L'origine de ces relations est l'existence de livres ouv
Externí odkaz:
http://arxiv.org/abs/math/0305129
Autor:
Giroux, Emmanuel
Let S be a compact surface - or the interior of a compact surface - and let V be the manifold of cooriented contact elements of S equiped with its canonical contact structure. A diffeomorphism of V that preserves the contact structure and its coorien
Externí odkaz:
http://arxiv.org/abs/math/0102009