Moduli Space of Fedosov Structures

Author:

Dubrovskiy Stanislav

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference14 articles.

1. Arnold, V. I.: Mathematical problems in classical physics, In: F. John, J. E. Marsden, and L. Sirovich (eds), Trends and Perspectives in Applied Mathematics, Appl. Math. Ser. 100, Springer, New York, 1999, pp. 1–20.

2. Deligne, P.: Déformations de l’algèbre des fonctions d’une variété symplectique: Comparison entre Fedosov et De Wilde, Lecompte, Selecta Math. New Ser. 1 (1995), 667–697.

3. Dubrovskiy, S.: Moduli space of symmetric connections, In: A. M. Vershik (ed.), Representation Theory, Dynamical Systems, Combinatorial and Algorithmic Methods. Part 7; Zapiski Nauchnyh Seminarov POMI 292 (2002), 22–39. Available as e-print: http://www.pdmi.ras.ru/znsl/2002/v292.html

4. De Wilde, M. and Lecompte, P. B. A.: Existence of star-products on exact symplectic manifolds, Ann. Inst. Fourier 35 (1985), 117–143.

5. Fedosov, B. V.: A simple geometric construction of deformation quantization, J. Differential Geom. 40 (1994), 213–238.

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1. On invariant operations of Fedosov structures;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-11-10

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3. Local diffeomorphisms in symplectic space and Hamiltonian systems with constraints;Journal of Geometry and Physics;2019-04

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