Results 11 to 20 of about 960 (143)

Symplectic duality of Symmetric Spaces [PDF]

, 2008
We show that between symmetric spaces of different types there exists a bi-symplectic map.
Loi, Andrea, Di Scala, Antonio Jose', ANDREA LOI, DI SCALA A. J., Di Scala, Antonio J.   +4 more
core   +1 more source

Geometric Quantization and Foliation Reduction [PDF]

, 2013
A standard question in the study of geometric quantization is whether symplectic reduction interacts nicely with the quantized theory, and in particular whether “quantization commutes with reduction.” Guillemin and Sternberg first proposed ...
Skerritt, Paul Michael
core   +1 more source

Riemannian geometry of Hartogs domains [PDF]

, 2009
This paper contains several results on the Riemannian geometry of the so called Hartogs ...
LOI, ANDREA, ZUDDAS, FABIO, ZUDDAS, F., Loi, A, DI SCALA A. J, Di Scala, Antonio Jose', Zuddas, F   +6 more
core   +1 more source

Poisson algebras via model theory and differential-algebraic geometry [PDF]

, 2017
Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim, Omar León Sánchez, Stéphane Launois, Jason Bell, Leon Sanchez, Omar, Sanchez, Omar; id_orcid, Rahim Moosa, Launois, Stephane, Bell, Jason   +8 more
core   +1 more source

On singular Calogero-Moser spaces [PDF]

, 2009
Using combinatorial properties of complex reflection groups, we show that the generalised Calogero-Moser space associated to the centre of the corresponding rational Cherednik algebra is singular for all values of its deformation parameter c if and only ...
Bellamy, G.
core   +1 more source

Non-Compact Symplectic Toric Manifolds [PDF]

, 2015
A key result in equivariant symplectic geometry is Delzant's classification of compact connected symplectic toric manifolds. The moment map induces an embedding of the quotient of the manifold by the torus action into the dual of the Lie algebra of the ...
Karshon, Y., Lerman, E.
core   +1 more source

Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space [PDF]

, 2006
The standard Poisson structure on the rectangular matrix variety Mm,n(C) is investigated, via the orbits of symplectic leaves under the action of the maximal torus T ⊂ GLm+n(C).
Brown, K.A., Yakimov, M., Goodearl, K.R.
core   +1 more source

Chern-flat and Ricci-flat invariant almost Hermitian structure [PDF]

, 2010
We study nilmanifolds endowed with a Chern ...
Antonio J. Di Scala, Luigi Vezzoni, Di Scala, Antonio Jose', Vezzoni, L.   +3 more
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Characterizing symplectic Grassmannians by varieties of minimal rational tangents

, 2021
© 2021 International Press of Boston, Inc.. All rights reserved.We show that if the variety of minimal rational tangents (VMRT) of a uniruled projective manifold at a general point is projectively equivalent to that of a symplectic or an odd-symplectic ...
Jun-Muk Hwang, Qifeng Li
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Complex and symplectic geometry

, 2017
This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of ...
Medori, Costantino, Tomassini, Adriano, Angella, Daniele   +2 more
core   +1 more source