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Displaying 21 – 40 of 99

Contact Homology, Capacity and Non-Squeezing in $ℝ^{2 n} \times S^{1}$ via Generating Functions

Sheila Sandon (2011)

Annales de l’institut Fourier

Starting from the work of Bhupal we extend to the contact case the Viterbo capacity and Traynor’s construction of symplectic homology. As an application we get a new proof of the Non-Squeezing Theorem of Eliashberg, Kim and Polterovich.

Contact homology of toroidal manifolds. (Homologie de contact des variétés toroïdales.)

Bourgeois, Frédéric, Colin, Vincent (2005)

Geometry & Topology

Correction to “Open books and configurations of symplectic surfaces”.

Gay, David T. (2003)

Algebraic & Geometric Topology

Cylindrical contact homology of subcritical Stein-fillable contact manifolds.

Yau, Mei-Lin (2004)

Geometry & Topology

Examples of circle actions on symplectic spaces

Christopher Allday (1998)

Banach Center Publications

Fibrations and contact structures.

Dathe, Hamidou, Rukimbira, Philippe (2005)

International Journal of Mathematics and Mathematical Sciences

Finitude homotopique et isotopique des structures de contact tendues

Vincent Colin, Emmanuel Giroux, Ko Honda (2009)

Publications Mathématiques de l'IHÉS

Soit V une variété close de dimension 3. Dans cet article, on montre que les classes dhomotopie de champs de plans sur V qui contiennent des structures de contact tendues sont en nombre fini et que, si V est atoroïdale, les classes disotopie des structures de contact tendues sur V sont elles aussi en nombre fini.

Foliations and contact structures.

Dathe, Hamidou, Rukimbira, Philippe (2004)

Advances in Geometry

Formality and the Lefschetz property in symplectic and cosymplectic geometry

Giovanni Bazzoni, Marisa Fernández, Vicente Muñoz (2015)

Complex Manifolds

We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the Kähler/symplectic situation) and the b1 = 1 case (in the coKähler/cosymplectic situation).

Formes fermées non singulières et propriétés de finitude des groupes

Mihai Damian (2000)

Annales scientifiques de l'École Normale Supérieure

Generalized symplectic rational blowdowns.

Symington, Margarete (2001)

Algebraic & Geometric Topology

Generating function polynomials for Legendrian links.

Traynor, Lisa (2001)

Geometry & Topology

Geography of symplectic 4-manifolds with Kodaira dimension one.

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

Algebraic & Geometric Topology

Geometry and representation of the singular symplectic forms

Wojciech Domitrz, Stanisław Janeczko, Zbigniew Pasternak-Winiarski (2003)

Banach Center Publications

In this paper we show to what extent the closed, singular 2-forms are represented, up to the smooth equivalence, by their restrictions to the corresponding singularity set. In the normalization procedure of the singularity set we find the sufficient conditions for the given closed 2-form to be a pullback of the classical Darboux form. We also find the classification list of simple singularities of the maximal isotropic submanifold-germs in the codimension one Martinet's singular symplectic structures....

Grafting Seiberg-Witten monopoles.

Jabuka, Stanislav (2003)

Algebraic & Geometric Topology

Handle attaching in symplectic homology and the Chord Conjecture

Kai Cieliebak (2002)

Journal of the European Mathematical Society

Arnold conjectured that every Legendrian knot in the standard contact structure on the 3-sphere possesses a haracteristic chord with respect to any contact form. I confirm this conjecture if the know has Thurston-Bennequin invariant $- 1$ . More generally, existence of chords is proved for a standard Legendrian unknot on the boundary of a subcritical Stein manifold of any dimension. There is also a multiplicity result which implies in some situations existence of infinitely many chords. The proof relies...

Hofer-Zehnder capacity and length minimizing Hamiltonian paths.

McDuff, Dusa, Slimowitz, Jennifer (2001)

Geometry & Topology

Homological Mirror Symmetry for manifolds of general type

Anton Kapustin, Ludmil Katzarkov, Dmitri Orlov, Mirroslav Yotov (2009)

Open Mathematics

In this paper we outline the foundations of Homological Mirror Symmetry for manifolds of general type. Both Physics and Categorical prospectives are considered.

Homotopy $K 3$ 's with several symplectic structures.

Vidussi, Stefano (2001)

Geometry & Topology

Homotopy type of symplectomorphism groups of $S^{2} \times S^{2}$ .

Anjos, Silvia (2002)

Geometry & Topology

Currently displaying 21 – 40 of 99

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