Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Niederkrüger, Klaus"'
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 richness to the $3$-dimensional one. The aim of this article is to prove that stro
Externí odkaz:
http://arxiv.org/abs/2410.07090
Publikováno v:
Algebr. Geom. Topol. 19 (2019) 3409-3451
The Bourgeois construction associates to every contact open book on a manifold $V$ a contact structure on $V\times T^2$. We study in this article some of the properties of $V$ that are inherited by $V\times T^2$ and some that are not. Giroux has prov
Externí odkaz:
http://arxiv.org/abs/1801.00869
Autor:
Niederkrüger, Klaus
The aim of this text is to give an accessible overview to some recent results concerning contact manifolds and their symplectic fillings. In particular, we work out the weakest compatibility conditions between a symplectic manifold and a contact stru
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00922320
http://tel.archives-ouvertes.fr/docs/00/92/23/20/PDF/hdr-2013-12-11.pdf
http://tel.archives-ouvertes.fr/docs/00/92/23/20/PDF/hdr-2013-12-11.pdf
Autor:
Massot, Patrick, Niederkrüger, Klaus
Publikováno v:
International Mathematics Research Notices, Volume 2016, Issue 15, 2016, Pages 4784-4806
We give examples of contactomorphisms in every dimension that are smoothly isotopic to the identity but that are not contact isotopic to the identity. In fact, we prove the stronger statement that they are not even symplectically pseudo-isotopic to t
Externí odkaz:
http://arxiv.org/abs/1504.03366
Publikováno v:
Journal de l'\'Ecole polytechnique, 3 (2016), p. 163-208
By a result of Eliashberg, every symplectic filling of a three-dimensional contact connected sum is obtained by performing a boundary connected sum on another symplectic filling. We prove a partial generalization of this result for subcritical contac
Externí odkaz:
http://arxiv.org/abs/1408.1051
Autor:
Niederkrüger, Klaus
Publikováno v:
Contact and Symplectic Topology, Bolyai Society Mathematical Studies, Volume 26, 2014, pp 173-244
These notes are based on a course that took place at the Universit\'e de Nantes in June 2011 during the "Trimester on Contact and Symplectic Topology". We will explain how holomorphic curves can be used to study symplectic fillings of a given contact
Externí odkaz:
http://arxiv.org/abs/1303.7415
Publikováno v:
Geom. Topol. 17 (2013) 1791-1814
We show that the presence of a plastikstufe induces a certain degree of flexibility in contact manifolds of dimension 2n+1>3. More precisely, we prove that every Legendrian knot whose complement contains a "nice" plastikstufe can be destabilized (and
Externí odkaz:
http://arxiv.org/abs/1211.3895
Publikováno v:
Inventiones mathematicae May 2013, Volume 192, Issue 2, pp 287-373
For contact manifolds in dimension three, the notions of weak and strong symplectic fillability and tightness are all known to be inequivalent. We extend these facts to higher dimensions: in particular, we define a natural generalization of weak fill
Externí odkaz:
http://arxiv.org/abs/1111.6008
Autor:
Niederkrüger, Klaus, Rechtman, Ana
Publikováno v:
J. Topol. Anal. 3 (2011), no. 4, 405-421
Helmut Hofer introduced in '93 a novel technique based on holomorphic curves to prove the Weinstein conjecture. Among the cases where these methods apply are all contact 3--manifolds $(M,\xi)$ with $\pi_2(M) \ne 0$. We modify Hofer's argument to prov
Externí odkaz:
http://arxiv.org/abs/1104.0250