47 citations · 129 across the 16 of their papers we have counts for
24 papers
On the Finiteness of Anosov flows on -manifolds via Contact Geometry
Jonathan Bowden, Vincent Colin
In dimension 3, following Eliashberg-Thurston and Mitsumatsu, one can associate a transverse pair of oppositely oriented contact structures to any Anosov flow. We show that when th…
Topological invariance of Liouville structures for taut foliations and Anosov flows
Jonathan Bowden, Thomas Massoni
Building on the work of Eliashberg and Thurston, we associate to a taut foliation on a closed oriented -manifold a Liouville structure on the thickening , u…
Towards the boundary of the fine curve graph
Jonathan Bowden, Sebastian Hensel, Richard Webb
The fine curve graph was introduced as a geometric tool to study homeomorphisms of surfaces. In this paper we study the Gromov boundary of this space and the local topology near po…
Tight contact structures without symplectic fillings are everywhere
Jonathan Bowden, Fabio Gironella, Agustin Moreno +1
We show that for all , any -dimensional manifold that admits a tight contact structure, also admits a tight but non-fillable contact structure, in the same almost…
Contact open books with flexible pages
Jonathan Bowden, Diarmuid Crowley
We give an elementary topological obstruction for a manifold of dimension to admit a contact open book with flexible Weinstein pages and : if t…
Rotation sets and actions on curves
Jonathan Bowden, Sebastian Hensel, Kathryn Mann +2
We study the action of the homeomorphism group of a surface on the fine curve graph . While the definition of parallels the c…
Quasi-morphisms on surface diffeomorphism groups
Jonathan Bowden, Sebastian Hensel, Richard Webb
We show that the identity component of the group of diffeomorphisms of a closed oriented surface of positive genus admits many unbounded quasi-morphisms. As a corollary, we also de…
stability of boundary actions and inequivalent Anosov flows
Jonathan Bowden, Kathryn Mann
We give a topological stability result for the action of the fundamental group of a compact manifold of negative curvature on its boundary at infinity: any nearby action of this gr…
Bourgeois contact structures: tightness, fillability and applications
Jonathan Bowden, Fabio Gironella, Agustin Moreno
Given a contact structure on a manifold together with a supporting open book decomposition, Bourgeois gave an explicit construction of a contact structure on $V \times \mathbb{…
5-dimensional Bourgeois contact structures are tight
Jonathan Bowden, Fabio Gironella, Agustin Moreno
Given a contact structure on a manifold together with a supporting open book decomposition, Bourgeois gave an explicit construction for a contact structure on $V \times \mathbb…
Asymptotic properties of MMM-classes
Jonathan Bowden
We study geometric properties of characteristic classes of surfaces bundles. In particular, we show that oriented surface bundles over bases with amenable fundamental groups and di…
Approximating -foliations by contact structures
Jonathan Bowden
We show that any co-orientable foliation of dimension two on a closed orientable -manifold with continuous tangent plane field can be -approximated by both positive and neg…
The topology of Stein fillable manifolds in high dimensions II
Jonathan Bowden, Diarmuid Crowley, András I. Stipsicz +1
We continue our study of contact structures on manifolds of dimension at least five using complex surgery theory. We show that in each dimension 2q+1 > 3 there are 'maximal' almost…
Contact perturbations of Reebless foliations are universally tight
Jonathan Bowden
We give a complete proof of the fact that a contact structure that is sufficiently close to a Reebless foliation is universally tight.
The topology of Stein fillable manifolds in high dimensions I
Jonathan Bowden, Diarmuid Crowley, András I. Stipsicz
We give a bordism-theoretic characterisation of those closed almost contact (2q+1)-manifolds (with q > 2) which admit a Stein fillable contact structure. Our method is to apply Eli…
Contact structures on M \times S^2
Jonathan Bowden, Diarmuid Crowley, András I. Stipsicz
We show that if a manifold M admits a contact structure, then so does M\times S^2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of B…
Contact structures, deformations and taut foliations
Jonathan Bowden
Using deformations of foliations to contact structures as well as rigidity properties of Anosov foliations we provide infinite families of examples which show that the space of tau…
Symplectic 4-manifolds with fixed point free circle actions
Jonathan Bowden
We show that recent results of Friedl-Vidussi and Chen imply that a symplectic manifold admits a fixed point free circle action if and only if it admits a symplectic circle action…
Exactly fillable contact structures without Stein fillings
Jonathan Bowden
We give examples of contact structures which admit exact symplectic fillings, but no Stein fillings, answering a question of Ghiggini.
On foliated characteristic classes of transversally symplectic foliations
Jonathan Bowden
Kotschick and Morita recently discovered factorisations of characteristic classes of transversally symplectic foliations that yield new characteristic classes in foliated cohomolog…
On closed leaves of foliations, multisections and stable commutator lengths
Jonathan Bowden
We give examples of foliations that answer two questions posed by Mitsumatsu and Vogt about the genus minimising properties of closed leaves of 2-dimensional foliations on 4-manifo…
Flat structures on surface bundles
Jonathan Bowden
We show that there exist flat surface bundles with closed leaves having non-trivial normal bundles. This leads us to compute the Abelianisation of surface diffeomorphism groups wit…
The homology of surface diffeomorphism groups and a question of Morita
Jonathan Bowden
We answer a question posed by Morita concerning the non-triviality of certain secondary characteristic classes for surface bundles. In doing so we are naturally led to show that a…
The topology of symplectic circle bundles
Jonathan Bowden
We consider circle bundles over compact three-manifolds with symplectic total spaces. We show that the base of such a space must be irreducible or the product of the two-sphere wit…