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The characteristic classes of Morita equivalent star products on symplectic manifolds

Henrique Bursztyn·Stefan Waldmann
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Abstract

In this paper we give a complete characterization of Morita equivalent star products on symplectic manifolds in terms of their characteristic classes: two star products $\star$ and $\star'$ on $(M,ω)$ are Morita equivalent if and only if there exists a symplectomorphism $ψ:M\longrightarrow M$ such that the relative class $t(\star,ψ^*(\star'))$ is $2 π\im$-integral. For star products on cotangent bundles, we show that this integrality condition is related to Dirac's quantization condition for magnetic charges.

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BibTeXRIS

Henrique Bursztyn, Stefan Waldmann. 2001-08-08. The characteristic classes of Morita equivalent star products on symplectic manifolds. https://doi.org/10.1007/s002200200657

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