000 02716nam a22004098i 4500
001 CR9781107325883
003 UkCbUP
005 20200124160240.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130129s2005||||enk o ||1 0|eng|d
020 _a9781107325883 (ebook)
020 _z9780521499286 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA649
_b.M329 2005
082 0 4 _a512.482
_222
100 1 _aMackenzie, K.
_q(Kirill),
_eauthor.
245 1 0 _aGeneral theory of lie groupoids and lie algebroids /
_cKirill C.H. Mackenzie.
246 3 _aGeneral Theory of Lie Groupoids & Lie Algebroids
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (xxxv, 501 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v213
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.
_tLie groupoids : fundamental theory --
_g2.
_tLie groupoids : algebraic constructions --
_g3.
_tLie algebroids : fundamental theory --
_g4.
_tLie algebroids : algebraic constructions --
_g5.
_tInfinitesimal connection theory --
_g6.
_tPath connections and lie theory --
_g7.
_tCohomology and Schouten calculus --
_g8.
_tThe cohomological obstruction --
_g9.
_tDouble vector bundles --
_g10.
_tPoisson structures and lie algebroids --
_g11.
_tPoisson and symplectic groupoids --
_g12.
_tLie bialgebroids.
520 _aThis a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.
650 0 _aLie groupoids.
650 0 _aLie algebroids.
650 0 _aVector bundles.
650 0 _aConnections (Mathematics)
710 2 _aLondon Mathematical Society,
_eissuing body.
776 0 8 _iPrint version:
_z9780521499286
830 0 _aLondon Mathematical Society lecture note series ;
_v213.
856 4 0 _uhttps://doi.org/10.1017/CBO9781107325883
999 _c518479
_d518477