[PDF][PDF] Foliations and the topology of 3-manifolds

D Gabai - 1983 - projecteuclid.org
In this announcement we discuss the close relationship between the topology of 3-manifolds
and the foliations that is possesses. We will introduce and state the main result, then use it …

[PDF][PDF] Groups acting on the circle

É Ghys - Enseignement Mathematique, 2001 - perso.ens-lyon.fr
This is a well written and informative survey of group actions on the circle. The main topics
are rotation numbers, the bounded Euler class and actions of lattices. The focus is on …

[图书][B] Foliations and the geometry of 3-manifolds

D Calegari - 2007 - books.google.com
This unique reference, aimed at research topologists, gives an exposition of the'pseudo-
Anosov'theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of …

Orderable 3-manifold groups

S Boyer, D Rolfsen, B Wiest - Annales de l'institut Fourier, 2005 - numdam.org
Orderable 3-manifold groups Page 1 ANNA L E S D E L’INSTITU T FO U RIER ANNALES
DE L’INSTITUT FOURIER Steven BOYER, Dale ROLFSEN & Bert WIEST Orderable 3-manifold …

Cocycles d'Euler et de Maslov

J Barge, E Ghys - Mathematische Annalen, 1992 - Springer
Conclusion Nous espérons avoir convaincu le lecteur qu'il peut être utile de considérer la
classe de Maslov comme une classe bornée. Dans [Gh], nous avons montré que la classe …

Convex cocompact subgroups of mapping class groups

B Farb, L Mosher - Geometry & Topology, 2002 - msp.org
We develop a theory of convex cocompact subgroups of the mapping class group MCG of a
closed, oriented surface S of genus at least 2, in terms of the action on Teichmüller space …

Structures de contact sur les variétés fibrées en cercles au-dessus d'une surface

E Giroux - Commentarii Mathematici Helvetici, 2001 - Springer
Soit V une variété fibrée en cercles au-dessus d'une surface S de genre g>0. Cet article
fournit, pour les structures de contact sur V, les analogues de résultats bien connus pour les …

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

N Monod, S Nariman - Inventiones mathematicae, 2023 - Springer
We determine the bounded cohomology of the group of homeomorphisms of certain low-
dimensional manifolds. In particular, for the group of orientation-preserving …

[HTML][HTML] Floer simple manifolds and L-space intervals

J Rasmussen, SD Rasmussen - Advances in Mathematics, 2017 - Elsevier
An oriented three-manifold with torus boundary admits either no L-space Dehn filling, a
unique L-space filling, or an interval of L-space fillings. In the latter case, which we call …

[HTML][HTML] Foliations, orders, representations, L-spaces and graph manifolds

S Boyer, A Clay - Advances in Mathematics, 2017 - Elsevier
We show that the properties of admitting a co-oriented taut foliation and having a left-
orderable fundamental group are equivalent for rational homology 3-sphere graph …