LEADER 04710nam 22007815 450 001 9910299981203321 005 20200704032517.0 010 $a3-0348-0871-2 024 7 $a10.1007/978-3-0348-0871-2 035 $a(CKB)3710000000269603 035 $a(SSID)ssj0001372629 035 $a(PQKBManifestationID)11829435 035 $a(PQKBTitleCode)TC0001372629 035 $a(PQKBWorkID)11304699 035 $a(PQKB)10146085 035 $a(DE-He213)978-3-0348-0871-2 035 $a(MiAaPQ)EBC6311696 035 $a(MiAaPQ)EBC5586592 035 $a(Au-PeEL)EBL5586592 035 $a(OCoLC)1066193987 035 $a(PPN)182098370 035 $a(EXLCZ)993710000000269603 100 $a20141007d2014 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFoliations: Dynamics, Geometry and Topology /$fby Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder, Ken Richardson ; edited by Jesús Álvarez López, Marcel Nicolau 205 $a1st ed. 2014. 210 1$aBasel :$cSpringer Basel :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (IX, 198 p. 20 illus., 10 illus. in color.) 225 1 $aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-0348-0870-4 327 $aFundamentals of Foliation Theory -- Foliation Dynamics -- Deformation of Locally Free Actions and Leafwise Cohomology -- Transversal Dirac Operators on Distributions, Foliations, and G-Manifolds. 330 $aThis book is an introduction to several active research topics in Foliation Theory and its connections with other areas. It contains expository lectures showing the diversity of ideas and methods arising and used in the study of foliations. The lectures by A. El Kacimi Alaoui offer an introduction to Foliation Theory, with emphasis on examples and transverse structures. S. Hurder's lectures apply ideas from smooth dynamical systems to develop useful concepts in the study of foliations, like limit sets and cycles for leaves, leafwise geodesic flow, transverse exponents, stable manifolds, Pesin Theory, and hyperbolic, parabolic, and elliptic types of foliations, all of them illustrated with examples. The lectures by M. Asaoka are devoted to the computation of the leafwise cohomology of orbit foliations given by locally free actions of certain Lie groups, and its application to the description of the deformation of those actions. In the lectures by K. Richardson, he studies the geometric and analytic properties of transverse Dirac operators for Riemannian foliations and compact Lie group actions, and explains a recently proved index formula. Besides students and researchers of Foliation Theory, this book will appeal to mathematicians interested in the applications to foliations of subjects like topology of manifolds, dynamics, cohomology or global analysis. 410 0$aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304 606 $aManifolds (Mathematics) 606 $aComplex manifolds 606 $aDynamics 606 $aErgodic theory 606 $aGlobal analysis (Mathematics) 606 $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 615 0$aManifolds (Mathematics). 615 0$aComplex manifolds. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aGlobal analysis (Mathematics). 615 14$aManifolds and Cell Complexes (incl. Diff.Topology). 615 24$aDynamical Systems and Ergodic Theory. 615 24$aGlobal Analysis and Analysis on Manifolds. 676 $a514.72 700 $aAsaoka$b Masayuki$4aut$4http://id.loc.gov/vocabulary/relators/aut$01064907 702 $aEl Kacimi Alaoui$b Aziz$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aHurder$b Steven$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aRichardson$b Ken$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aÁlvarez López$b Jesús$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNicolau$b Marcel$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299981203321 996 $aFoliations: Dynamics, Geometry and Topology$92541505 997 $aUNINA