Publication: Biquantization of symmetric pairs and the quantum shift
Biquantization of symmetric pairs and the quantum shift
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Cattaneo, A. S., Rossi, C. A., & Torossian, C. (2013). Biquantization of symmetric pairs and the quantum shift. Journal of Geometry and Physic, 74, 211–250. https://doi.org/10.1016/j.geomphys.2013.07.001
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The biquantization of symmetric pairs was studied by Cattaneo etal. (2008) [1] in terms of Kontsevich-like graphs. This note, also in view of recent results by Calaque etal. (2009) [3], amends a minor mistake that did not spoil the main results of the paper. The mistake consisted in ignoring a regular term in the boundary contribution of some propagators. On the other hand, its correction brings back the quantum shift, present in the approaches by the orbit method, that was otherwise puzzlingly missing. In addition a detailed comparis
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Cattaneo, A. S., Rossi, C. A., & Torossian, C. (2013). Biquantization of symmetric pairs and the quantum shift. Journal of Geometry and Physic, 74, 211–250. https://doi.org/10.1016/j.geomphys.2013.07.001