1,720,966 research outputs found
Deformations of the Lie–Poisson sphere of a compact semisimple Lie algebra
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135201.pdf (Author’s version preprint ) (Open Access
Poisson cohomology and linearization for sl2(R) and sl2(C)
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231834.pdf (Publisher’s version ) (Open Access)Radboud University, 13 april 2021Promotor : Koelink, H.T. Co-promotor : Marcut, I.T.xii, 177 p
Rigidity around Poisson submanifolds
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135220.pdf (Author’s version preprint ) (Open Access
Formal equivalence of Poisson structures around Poisson submanifolds
No full textLet (M,π) be a Poisson manifold. A Poisson submanifold P ⊂ M gives rise to a Lie algebroid AP → P. Formal deformations of π around P are controlled by certain cohomology groups associated to AP. Assuming that these groups vanish, we prove that π is formally rigid around P; that is, any other Poisson structure on M, with the same first-order jet along P, is formally Poisson diffeomorphic to π. When P is a symplectic leaf, we find a list of criteria that are sufficient for these cohomological obstructions to vanish. In particular, we obtain a formal version of the normal form theorem for Poisson manifolds around symplectic leaves
Normal forms for Poisson maps and symplectic groupoids around Poisson transversals
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184189.pdf (Publisher’s version ) (Open Access
The Homology Class of a Poisson Transversal
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219753pub.pdf (Publisher’s version ) (Open Access)
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219753pre.pdf (Author’s version preprint ) (Open Access
On dual pairs in Dirac geometry
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192279.pdf (Publisher’s version ) (Open Access
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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