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Displaying 1 – 6 of 6

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.

Currently displaying 1 – 6 of 6

Page 1

Displaying 1 – 6 of 6

Handle attaching in symplectic homology and the Chord Conjecture

Hofer-Zehnder capacity and length minimizing Hamiltonian paths.

Homological Mirror Symmetry for manifolds of general type

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

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

Hyperbolic characteristics on star-shaped hypersurfaces

Currently displaying 1 – 6 of 6

Displaying 1 – 6 of 6

Handle attaching in symplectic homology and the Chord Conjecture

Hofer-Zehnder capacity and length minimizing Hamiltonian paths.

Homological Mirror Symmetry for manifolds of general type

Homotopy K 3 's with several symplectic structures.

Homotopy type of symplectomorphism groups of S 2 × S 2 .

Hyperbolic characteristics on star-shaped hypersurfaces

Currently displaying 1 – 6 of 6

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

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