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math.SG2013
Geometric quantization of Dirac manifolds
Yuji Hirota
We define prequantization for Dirac manifolds to generalize known procedures for Poisson and (pre) symplectic manifolds by using characteristic distributions obtained from 2-cocycl…
math.SG2013
Equivalence of the categories of modules over Lie algebroids
Yuji Hirota
We study geometric representation theory of Lie algebroids. A new equivalence relation for integrable Lie algebroids is introduced and investigated. It is shown that two equivalent…