Cahen–Gutt moment map, closed Fedosov star product and structure of the automorphism group
نویسندگان
چکیده
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This is an expository note on Fedosov’s construction of deformation quantization. Given a symplectic manifold and a connection on it, we show how to calculate the star-product step by step. We draw simple diagrams to solve the recursive equations for the Fedosov connection and for flat sections of the Weyl algebra bundle corresponding to functions. We also reflect on the differences of symplect...
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The computer program ‘Fecom.nb’ implementing the Fedosov ∗-product in Darboux coordinates is presented. It has been written in Mathematica 6.0 but it can be easily modified to be run in some earlier version of Mathematica. To optimize computations elements of the Weyl algebra are treated as polynomials. Several procedures which order the terms are included.
متن کاملTHE AUTOMORPHISM GROUP OF FINITE GRAPHS
Let G = (V,E) be a simple graph with exactly n vertices and m edges. The aim of this paper is a new method for investigating nontriviality of the automorphism group of graphs. To do this, we prove that if |E| >=[(n - 1)2/2] then |Aut(G)|>1 and |Aut(G)| is even number.
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ژورنال
عنوان ژورنال: Journal of Symplectic Geometry
سال: 2020
ISSN: 1527-5256,1540-2347
DOI: 10.4310/jsg.2020.v18.n1.a3