TY - JOUR
T1 - Integration of Lie bialgebroids
AU - Mackenzie, Kirill C.H.
AU - Xu, Ping
N1 - Funding Information:
* Corresponding author. 1 Partially supported by NSF Grants DMS95-04913 and DMS97-04391.
PY - 2000/5
Y1 - 2000/5
N2 - We prove that under certain mild assumptions a Lie bialgebroid integrates to a Poisson groupoid. This includes, in particular, a new proof of the existence of local symplectic groupoids for any Poisson manifold, a theorem of Karasev and of Weinstein.
AB - We prove that under certain mild assumptions a Lie bialgebroid integrates to a Poisson groupoid. This includes, in particular, a new proof of the existence of local symplectic groupoids for any Poisson manifold, a theorem of Karasev and of Weinstein.
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U2 - 10.1016/S0040-9383(98)00069-X
DO - 10.1016/S0040-9383(98)00069-X
M3 - Article
AN - SCOPUS:0034179182
SN - 0040-9383
VL - 39
SP - 445
EP - 467
JO - Topology
JF - Topology
IS - 3
ER -