Results 11 to 20 of about 739,176 (157)

AUTOMORPHISMS AND SYMPLECTIC LEAVES OF CALOGERO–MOSER SPACES

Journal of the Australian Mathematical Society, 2022
AbstractWe study the symplectic leaves of the subvariety of fixed points of an automorphism of a Calogero–Moser space induced by an element of finite order of the normalizer of the associated complex reflection group. We give a parametrizationà laHarish-Chandra of its symplectic leaves (generalizing earlier works of Bellamy and Losev).
CÉDRIC BONNAFÉ, Bonnafé, Cédric
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Examples of symplectic non-leaves

Revista Matemática Iberoamericana
This paper deals with the following question: which manifolds can be realized as leaves of codimension- 1 symplectic foliations (of regularity at least C^{2} ) on ...
Fabio Gironella, Lauran Toussaint
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Symplectic leaves of Calogero-Moser spaces of type $G(\ell,1,n)$

, 2022
We study symplectic leaves of Calogero-Moser spaces of type $G(\ell,1,n)$. We prove that the normalization of the closure of each symplectic leaf is isomorphic to some Calogero-Moser space. We also give a nice combinatorial parameterization of the symplectic leaves.
Maksimau, Ruslan
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Symplectic geometry of conical symplectic resolutions [PDF]

, 2021
Ever since Kronheimer's celebrated hyperkähler construction of gravitational instantons thirty years ago, many similar constructions have appeared in the mathematical literature, eventually producing a vast class of holomorphic symplectic manifolds ...
Zivanovic, Filip
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Symplectic leaves for generalized affine Grassmannian slices

Annales scientifiques de l'École Normale Supérieure, 2023
The generalized affine Grassmannian slices $\overline{\mathcal{W}}_μ^λ$ are algebraic varieties introduced by Braverman, Finkelberg, and Nakajima in their study of Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories. We prove a conjecture of theirs by showing that the dense open subset $\mathcal{W}_μ^λ\subseteq \overline{\mathcal{W}}_μ^λ$ is
Muthiah, Dinakar, Weekes, Alex
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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.
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(Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest [PDF]

Journal of High Energy Physics, 2020
Abstract We derive the structure of the Higgs branch of 5d superconformal field theories or gauge theories from their realization as a generalized toric polygon (or dot diagram). This approach is motivated by a dual, tropical curve decomposition of the (p, q) 5-brane-web system.
van Beest, Marieke, Bourget, Antoine, Eckhard, Julius, Schäfer-Nameki, Sakura   +3 more
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Symplectic leaves and deformation quantization [PDF]

Proceedings of the American Mathematical Society, 1996
In this paper, we show that for any classical simple compact Poisson Lie group K K , there is no quantization of
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Symplectic Applicability of Lagrangian Surfaces [PDF]

, 2009
We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their ...
Lorenzo Nicolodi, Musso, Emilio, Nicolodi, L., Emilio Musso, MUSSO E, NICOLODI, Lorenzo, NICOLODI L.   +6 more
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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
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