Open books on contact five-manifolds

Otto van Koert

Displaying similar documents to “Open books on contact five-manifolds”

Local rigidity of aspherical three-manifolds

Pierre Derbez (2012)

Annales de l’institut Fourier

Similarity:

In this paper we construct, for each aspherical oriented $3$ -manifold $M$ , a $2$ -dimensional class in the $l_{1}$ -homology of $M$ whose norm combined with the Gromov simplicial volume of $M$ gives a characterization of those nonzero degree maps from $M$ to $N$ which are homotopic to a covering map. As an application we characterize those degree one maps which are homotopic to a homeomorphism in term of isometries between the bounded cohomology groups of $M$ and $N$ .

The geometry of the local cohomology filtration in equivariant bordism.

Sinha, Dev P. (2001)

Homology, Homotopy and Applications

Similarity:

Bordism of oriented 5-manifolds with T-structure and polarization

Piotr Mikrut (1999)

Colloquium Mathematicae

Similarity:

Decomposing four-manifolds up to homotopy type.

Cavicchioli, Alberto, Ruini, Beatrice, Spaggiari, Fulvia (2003)

Beiträge zur Algebra und Geometrie

Similarity:

An introduction to the abelian Reidemeister torsion of three-dimensional manifolds

Gwénaël Massuyeau (2011)

Annales mathématiques Blaise Pascal

Similarity:

These notes accompany some lectures given at the autumn school “” in October 2009. The abelian Reidemeister torsion for $3$ -manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.

Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle

Agnès Gadbled (2009)

Annales de l’institut Fourier

Similarity:

We extend the constructions and results of Damian to get topological obstructions to the existence of closed monotone Lagrangian embeddings into the cotangent bundle of a space which is the total space of a fibration over the circle.