Poisson geometry and Morita equivalence Export

@misc{citeulike:466581, abstract = {These notes discuss various aspect of the ``representation theory'' of Poisson manifolds, with focus on Morita equivalence and Picard groups. We give a brief introduction to Poisson geometry (including Dirac and twisted Poisson structures) and algebraic Morita theory before presenting the geometric Morita theory of Poisson manifolds. We also point out the connections with the theory of symplectic groupoids and hamiltonian actions.}, archivePrefix = {arXiv}, author = {Bursztyn, Henrique and Weinstein, Alan}, citeulike-article-id = {466581}, citeulike-linkout-0 = {http://arxiv.org/abs/math.SG/0402347}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.SG/0402347}, day = {30}, eprint = {math.SG/0402347}, keywords = {groupoids, hamiltonian, morita\_equivalence, poisson, representation\_theory}, month = {Mar}, posted-at = {2006-01-17 02:02:31}, priority = {2}, title = {Poisson geometry and Morita equivalence}, url = {http://arxiv.org/abs/math.SG/0402347}, year = {2004} }

TY - ELEC ID - citeulike:466581 L3 - citeulike-article-id:466581 N2 - These notes discuss various aspect of the ``representation theory'' of Poisson manifolds, with focus on Morita equivalence and Picard groups. We give a brief introduction to Poisson geometry (including Dirac and twisted Poisson structures) and algebraic Morita theory before presenting the geometric Morita theory of Poisson manifolds. We also point out the connections with the theory of symplectic groupoids and hamiltonian actions. TI - Poisson geometry and Morita equivalence KW - groupoids KW - hamiltonian KW - morita_equivalence KW - poisson KW - representation_theory AU - Bursztyn, Henrique AU - Weinstein, Alan PY - 2004/Mar/30/ UR - http://arxiv.org/abs/math.SG/0402347 ER -