منابع مشابه
Formal Symplectic Groupoid
The multiplicative structure of the trivial symplectic groupoid over R associated to the zero Poisson structure can be expressed in terms of a generating function. We address the problem of deforming such a generating function in the direction of a non-trivial Poisson structure so that the multiplication remains associative. We prove that such a deformation is unique under some reasonable condi...
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R esum e: Nous d emontrons que, sous des circomstances g en erales, l'union disjoint des couvertes universales des etoiles d'un groupo de de Lie admet le structure d'un groupo de de Lie auquel que le projection a une propri et e de monodromie sur les extensions des morphismes emousse. Ca compl etes une conte d etailles des r esultats annonc es par J. Pradines. Introduction The notion of monodro...
متن کاملRelations Among Lie Formal Series and Construction of Symplectic Integrators
Symplectic integrators are numerical integration schemes for hamiltonian systems. The integration step is an explicit symplectic map. We find symplectic integrators using universal exponential identities or relations among formal Lie series. We give here general methods to compute such identities in a free Lie algebra. We recover by these methods all the previously known symplectic integrators ...
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Let (m, b) be a pair of natural numbers. For m even (resp. m odd and b ≥ 2) we show that if there is an m-dimensional non-formal compact oriented manifold with first Betti number b1 = b, there is also a symplectic (resp. contact) manifold with these properties.
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We answer in the affirmative the question posed by Babenko and Taimanov [3] on the existence of non-formal simply connected compact symplectic manifolds of dimension 8.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2004
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-004-1199-z