Applications of convex integration to symplectic and contact geometry

Dusa McDuff

The search session has expired. Please query the service again.

Displaying similar documents to “Applications of convex integration to symplectic and contact geometry”

Examples of stable compact symplectic foliations on compact symplectic manifolds

León, Manuel de (1989)

Portugaliae mathematica

Similarity:

Symplectic and cosymplectic foliations on cosymplectic manifolds.

Chinea, Domingo, de León, Manuel, Marrero, Juan C. (1991)

Publications de l'Institut Mathématique. Nouvelle Série

Similarity:

Anosov flows and non-Stein symplectic manifolds

Yoshihiko Mitsumatsu (1995)

Annales de l'institut Fourier

Similarity:

We simplify and generalize McDuff’s construction of symplectic 4-manifolds with disconnected boundary of contact type in terms of the linking pairing defined on the dual of 3-dimensional Lie algebras. This leads us to an observation that an Anosov flow gives rise to a bi-contact structure, i.e. a transverse pair of contact structures with different orientations, and the construction turns out to work for 3-manifolds which admit Anosov flows with smooth invariant volume. Finally, new...

Towards the Definition of Symplectic Boundary.

H. Hofer, Y. Eliashberg (1992)

Geometric and functional analysis

Similarity:

Symplectic Capacities in Manifolds

Alfred Künzle (1997)

Banach Center Publications

Similarity:

Symplectic capacities coinciding on convex sets in the standard symplectic vector space are extended to any subsets of symplectic manifolds. It is shown that, using embeddings of non-smooth convex sets and a product formula, calculations of some capacities become very simple. Moreover, it is proved that there exist such capacities which are distinct and that there are star-shaped domains diffeomorphic to the ball but not symplectomorphic to any convex set.

Geography of symplectic 4-manifolds with Kodaira dimension one.

Baldridge, Scott, Li, Tian-Jun (2005)

Algebraic & Geometric Topology

Similarity:

On symplectic fillings.

Etnyre, John B. (2004)

Algebraic & Geometric Topology

Similarity: