Formality conjectures and deformation. (Q5945516)
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scientific article; zbMATH DE number 1657056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formality conjectures and deformation. |
scientific article; zbMATH DE number 1657056 |
Statements
Formality conjectures and deformation. (English)
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2001
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The paper is a variation on classifications of star products and an attempt to extend the Connes-Flato-Sternheimer invariant of a closed star product on a symplectic manifold [\textit{A. Connes, M. Flato} and \textit{D. Sternheimer}, Lett. Math. Phys. 24, 1--12 (1992; Zbl 0767.55005)] to a general Poisson manifold. The approach is based on certain formality conjectures similar to a formality theorem of M. Kontsevich.
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star product
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Poisson manifold
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homology
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index theorem
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