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Moduli Space of Fedosov Structures

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Abstract

We consider the space of germs of Fedosov structures at a point, under the action of origin-preserving diffeomorphisms. We calculate dimensions of moduli spaces of k-jets of generic structures and construct the Poincaré series of the moduli space. It is shown to be a rational function.

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Authors and Affiliations

  1. The 21st Century COE Program, Center for Integrative Mathematical Sciences Keio University, 3-14-1 Hiyoshi, Kohoku, Yokohama, 223-8522, Japan

    Stanislav Dubrovskiy

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  1. Stanislav Dubrovskiy
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Correspondence to Stanislav Dubrovskiy.

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Mathematics Subject Classifications (2000): primary: 53A55; secondary: 53B15, 53D15, 58J60.

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Dubrovskiy, S. Moduli Space of Fedosov Structures. Ann Glob Anal Geom 27, 273–297 (2005). https://doi.org/10.1007/s10455-005-1585-6

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  • DOI: https://doi.org/10.1007/s10455-005-1585-6

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