Topological Quantum Field Theory Seminar   RSS

13/10/2006, 14:00 — 15:00 — Room P3.31, Mathematics Building
Mark Gotay, Univ. of Hawai at Manoa

Obstructions to Quantization 2

Let (L,) be a prequantum line bundle over a symplectic manifold X, and S its symplectization. Kostant showed that the classical Poisson bracket on S is simply prequantization on X. C. Duval and I have taken this a step farther to obtain a quantization of X using a generalized star-product on S.

  1. Kostant, B. [2003], Minimal coadjoint orbits and symplectic induction, arXiv: SG/0312252.

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Current organizers: José MourãoRoger Picken, Marko Stošić


FCT Projects PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.