Results 141 to 150 of about 739,176 (157)
On the splitting of infinitesimal Poisson automorphisms around symplectic leaves [PDF]
A geometric description of the first Poisson cohomology groups is given in the semilocal context, around (possibly singular) symplectic leaves. This result is based on the splitting theorems for infinitesimal automorphisms of coupling Poisson structures which describe the interaction between the tangential and transversal data of the characteristic ...
Yury Vorobiev
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Symplectic leaves of the Gel'fand-Dikii brackets and homotopy classes of nondegenerate curves
Functional Analysis and Its Applications, 1990The authors prove results such as: the unique continuous invariant of symplectic sheets of the second Gel'fand-Dikij bracket is a monodromy operator and n-degree differential operators generating non-oscillatory equations describe separated symplectic sheets of the same bracket.
V Yu Ovsienko
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Teichmüller spaces as degenerated symplectic leaves in Dubrovin–Ugaglia Poisson manifolds
In this paper we study the Goldman bracket between geodesic length functions both on a Riemann surface $Σ_{g,s,0}$ of genus $g$ with $s=1,2$ holes and on a Riemann sphere $Σ_{0,1,n}$ with one hole and $n$ orbifold points of order two. We show that the corresponding Teichmüller spaces $\mathcal T_{g,s,0}$ and $\mathcal T_{0,1,n}$ are realised as real ...
Marta Mazzocco, Leonid Chekhov
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Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves [PDF]
The algebra of quantum matrices of a given size supports a rational torus action by automorphisms. It follows from work of Letzter and the first named author that to understand the prime and primitive spectra of this algebra, the first step is to understand the prime ideals that are invariant under the torus action.
Stéphane Launois +2 more
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Compactified symplectic leaves in bundle moduli spaces
Abstract Let ℰ be a rank-2 vector bundle over an elliptic curve E , decomposable as a sum of line bundles of degrees d ' > d
Alexandru Chirvăsitu
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Linearizability of Poisson structures around singular symplectic leaves
Mathematical Notes, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Primitive ideals and symplectic leaves of quantum matrices. II
2009The author continues his investigations started in [Primitive ideals and symplectic leaves of quantum matrices, Vestn. Samar. Gos. Univ., Mat. Mekh. Fiz. Khim. Biol. 1997, No. 3(6), 81-90 (1997), see also Serdica Math. J. 26, 105-118 (2000; Zbl 0954.17012)].
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Madjid Eshaghi Gordji Affiliation: Faculty of Mathematics and Computer Science, Semnan University, Semnan, Iran Mohamadali Berahman Affiliation: Faculty of Mathematics and Computer Science, Semnan University, Semnan, Iran Mohammad Bagha Affiliation: Faculty of Mathematics and Computer Science, Semnan University, Semnan, Iran Corresponding author ...
Eshaghi Gordji, Madjid +2 more
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Eshaghi Gordji, Madjid +2 more
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Symplectic resolutions of quiver varieties
Selecta Mathematica, New Series, 2021Gwyn Bellamy, Travis Schedler
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