activity
20042024
most citedThe plastikstufe - a generalization of the overtwisted disk to higher dimensions

78 citations · 115 across the 6 of their papers we have counts for

collaborators

6 papers

math.SG2024

Vanishing cycles of symplectic foliations

Fabio Gironella, Klaus Niederkrüger, Lauran Toussaint

Several results in recent years have shown that the usual generalizations of taut foliations to higher dimensions, based only on topological concepts, lead to a theory that lacks t…

math.SG2013★ 4 cited

Higher dimensional contact topology via holomorphic disks

Klaus Niederkrüger

These notes are based on a course that took place at the Université de Nantes in June 2011 during the "Trimester on Contact and Symplectic Topology". We will explain how holomorphi…

math.SG2007★ 18 cited

Every contact manifold can be given a non-fillable contact structure

Klaus Niederkrüger, Otto van Koert

Recently Francisco Presas Mata constructed the first examples of closed contact manifolds of dimension larger than 3 that contain a plastikstufe, and hence are non-fillable. Using…

math.SG2006★ 78 cited

The plastikstufe - a generalization of the overtwisted disk to higher dimensions

Klaus Niederkruger

In this article, we give a first prototype-definition of overtwistedness in higher dimensions. According to this definition, a contact manifold is called "overtwisted" if it contai…

math.SG2004★ 1 cited

5-dimensional contact SO(3)-manifolds and Dehn twists

Klaus Niederkrüger

In this paper the 5-dimensional contact SO(3)-manifolds are classified up to equivariant contactomorphisms. The construction of such manifolds with singular orbits requires the use…

math.SG2004★ 14 cited

Open book decompositions for contact structures on Brieskorn manifolds

Otto van Koert, Klaus Niederkrüger

In this paper, we give an open book decomposition for the contact structures on some Brieskorn manifolds, in particular for the contact structures of Ustilovsky. The decomposition…