共查询到20条相似文献,搜索用时 15 毫秒
1.
Boris Khesin 《Geometric And Functional Analysis》2012,22(5):1444-1459
We present the Hamiltonian formalism for the Euler equation of symplectic fluids, introduce symplectic vorticity, and study related invariants. In particular, this allows one to extend Ebin’s long-time existence result for geodesics on the symplectomorphism group to metrics not necessarily compatible with the symplectic structure. We also study the dynamics of symplectic point vortices, describe their symmetry groups and integrability. 相似文献
2.
D. V. Millionshchikov 《Proceedings of the Steklov Institute of Mathematics》2006,252(1):182-204
We study symplectic structures on filiform Lie algebras, which are niplotent Lie algebras with the maximal length of the descending
central sequence. Let g be a symplectic filiform Lie algebra and dim g = 2k ≥ 12. Then g is isomorphic to some ℕ-filtered deformation either of m0(2k) (defined by the structure relations [e
1, e
i
] = e
i+1, i = 2,…, 2k − 1) or of V
2k
, the quotient of the positive part of the Witt algebra W
+ by the ideal of elements of degree greater than 2k. We classify ℕ-filtered deformations of V
n
: [e
i
, e
j
] = (j − i)e
i+1 + Σ
l≥1
c
ij
l
e
i+j+l
. For dim g = n ≥ 16, the moduli space ℳn of these deformations is the weighted projective space
. For even n, the subspace of symplectic Lie algebras is determined by a single linear equation.
Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Vol. 252, pp. 194–216. 相似文献
3.
We derive a wall crossing formula for the symplectic vortex invariants of toric manifolds. As an application, we give a proof
of Batyrev's formula for the quantum cohomology of a monotone toric manifold with minimal Chern number at least two.
Supported by National Science Foundation Grant DMS–0072267 相似文献
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We study the Jacobians of the genus 3 Picard and Fermat curves with respect to the problem of maximizing the minimum non-zero
norm. We use criteria for symplectic lattices related to the criteria of perfect and eutactic for classical lattices. We show
that the Picard curve is a local maximum, but the Fermat curve is not. 相似文献
11.
By slanting symplectic quadrangles W(F) over fieldsF, we obtain very simple examples of non-classical generalized quadrangles. We determine the collineation groups of these slanted quadrangles and their groups of projectivities. No slanted quadrangle is a topological quadrangle. 相似文献
12.
We show that the spherical capacity is discontinuous on a smooth family of ellipsoidal shells. Moreover, we prove that the shell capacity is discontinuous on a family of open sets with smooth connected boundaries. 相似文献
13.
In this note we make several observations concerning symplectic cobordisms. Among other things we show that every contact
3-manifold has infinitely many concave symplectic fillings and that all overtwisted contact 3-manifolds are “symplectic cobordism
equivalent”.
Received: 26 March 2001 / Revised version: 1 May 2001 / Published online: 28 February 2002 相似文献
14.
Yujiro Kawamata 《Journal of the American Mathematical Society》1999,12(1):85-92
We prove that small deformations of canonical singularities are canonical.
15.
Paul Bressler Alexander Gorokhovsky Ryszard Nest Boris Tsygan 《Advances in Mathematics》2011,(4):3018
In this paper we consider deformations of an algebroid stack on an étale groupoid. We construct a differential graded Lie algebra (DGLA) which controls this deformation theory. In the case when the algebroid is a twisted form of functions we show that this DGLA is quasiisomorphic to the twist of the DGLA of Hochschild cochains on the algebra of functions on the groupoid by the characteristic class of the corresponding gerbe. 相似文献
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N. V. Proskurin 《Journal of Mathematical Sciences》1989,46(2):1841-1842
The existence of two cubic theta-functions defined on S(4,)/S(4) is announced.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 162, pp. 186–188, 1987. 相似文献
18.
Milan Journal of Mathematics - Presentiamo uno studio matematico delle deformazioni differenziali associate ad uno spazio simplettico. Indichiamo quindi delle relazioni con le algebre di operatori... 相似文献
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Michael Heusener Eric Klassen 《Proceedings of the American Mathematical Society》1997,125(10):3039-3047
G. Burde proved (1990) that the representation space of two-bridge knot groups is one-dimensional. The same holds for all torus knot groups. The aim of this note is to prove the following:
Given a knot we denote by its twofold branched covering space. Assume that there is a prime number such that . Then there exist representations of the knot group onto the binary dihedral group and these representations are smooth points on a one-dimensional curve of representations into .
Given a knot we denote by its twofold branched covering space. Assume that there is a prime number such that . Then there exist representations of the knot group onto the binary dihedral group and these representations are smooth points on a one-dimensional curve of representations into .