Integration of Lie bialgebroids

Kirill C.H. Mackenzie; Ping Xu

doi:10.1016/S0040-9383(98)00069-X

Integration of Lie bialgebroids

Kirill C.H. Mackenzie
, Ping Xu

Research output: Contribution to journal › Article › peer-review

92 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	445-467
Number of pages	23
Journal	Topology
Volume	39
Issue number	3
DOIs	https://doi.org/10.1016/S0040-9383(98)00069-X
State	Published - May 2000

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/S0040-9383(98)00069-X

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title = "Integration of Lie bialgebroids",

abstract = "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.",

author = "Mackenzie, \{Kirill C.H.\} and Ping Xu",

note = "Funding Information: * Corresponding author. 1 Partially supported by NSF Grants DMS95-04913 and DMS97-04391.",

year = "2000",

month = may,

doi = "10.1016/S0040-9383(98)00069-X",

language = "English (US)",

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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.

UR - https://www.scopus.com/pages/publications/0034179182

UR - https://www.scopus.com/pages/publications/0034179182#tab=citedBy

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 -

Integration of Lie bialgebroids

Abstract

All Science Journal Classification (ASJC) codes

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