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The fundamental groups of contact toric manifolds

期刊: JOURNAL OF SYMPLECTIC GEOMETRY, 2020; 18 (3)

Let M be a connected compact contact toric manifold. Most of such manifolds are of Reeb type. We show that if M is of Reeb type, then pi(1)(M) is fini......

Cahen-Gutt moment map, closed Fedosov star product and structure of the automorphism group

期刊: JOURNAL OF SYMPLECTIC GEOMETRY, 2020; 18 (1)

We show that if a compact Kahler manifold M with non-negative Ricci curvature admits closed Fedosov star product then the reduced Lie algebra of holom......

Optimal convergence speed of Bergman metrics on symplectic manifolds

期刊: JOURNAL OF SYMPLECTIC GEOMETRY, 2020; 18 (4)

It is known that a compact symplectic manifold endowed with a prequantum line bundle can be embedded in the projective space generated by the eigensec......

Presymplectic convexity and (ir)rational polytopes

期刊: JOURNAL OF SYMPLECTIC GEOMETRY, 2019; 17 (5)

In this paper, we extend the Atiyah-Guillemin-Sternberg convexity theorem and Delzant's classification of symplectic toric manifolds to presymplectic ......

JIF:0.99

Twin Lagrangian fibrations in mirror symmetry

期刊: JOURNAL OF SYMPLECTIC GEOMETRY, 2019; 17 (5)

A twin Lagrangian fibration, originally introduced by Yau and the first author, is roughly a geometric structure consisting of two Lagrangian fibratio......

JIF:0.99

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