Loop Spaces, Characteristic Classes

Front Cover
Birkhäuser, 1993 - Mathematics - 300 pages
0 Reviews
This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Recent development in mathematical physics (e.g., in knot theory, gauge theory, and topological quantum filed theory) have led mathematicians and physicists to look for new geometric structures on manifolds and to seek a synthesis of ideas from geometry, topology and category theory. In this spirit, this book develops the differential geometry associated to the topology and obstruction theory of certain fiber bundles (more precisely, associated to grebes). The new theory is a 3-dimensional analog of the familiar Kostant-Weil theory of line bundles. IN particular the curvature now becomes a 3-form. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, K'hler geometry of the space of knots, Cheeger-Cern-Simons secondary characteristics classes, and group cohomology. Finally, the last chapter deals with the Dirac monopole and Diraca's quantizations of the electrical charge. The book will be of interest to topologists, geometers, Lie theorists and mathematical physicists, as well as to operator algebraists. It is written for graduate students and researchers, and will be an excellent textbook. It has a self-contained introduction to the theory of sheaves and their cohomology, line bundles and geometric prequantizations ? la Kostant-Souriau.

What people are saying - Write a review

We haven't found any reviews in the usual places.

Related books

References to this book

All Book Search results »

References from web pages

Brylinski J.-L — Loop Spaces, Characteristic Classes and ...
Название: Loop Spaces, Characteristic Classes and Geometric Quantization Автор: Brylinski J.-L Аннотация:. Develops a Chern-Weil theory of characteristic ...
lib.mexmat.ru/ book.php?id=316

Brylinski J.-L. Loop spaces, characteristic classes and geometric ...
Book: Brylinski J.-L. Loop spaces, characteristic classes and geometric quantization (Birkhauser 1993)(L)(T)(ISBN 0817636447)(161s).djvu ...
lib.org.by/ info/ M_Mathematics/ MD_Geometry%20and%20topology/ MDat_Algebraic%20and%20differential%20topology/ Brylinski%...

Citebase - Projective unitary representations of smooth Deligne ...
Brylinski, Loop spaces, Characteristic Classes and Geometric Quantization. Birkha user Boston, Inc., Boston, MA, 1993. ...
www.citebase.org/ abstract?identifier=oai%3AarXiv.org%3Amath%2F0510187& action=citeshits& citeshits=cites

this week's finds
Loop Spaces, Characteristic Classes and Geometric Quantization, by Jean-Luc Brylinski, Birkhauser, Boston, 1993. ISBN 0-176-3644-7 ...
math.ucr.edu/ home/ baez/ twfcontents.html

springer.de/buchhandel nhalt
springer.de/buchhandel. nhalt. Buch mit DVD. Buch. mit CD-ROM. Auch als Online-Version. erhältlich. Lehrbuch/Textbook. Wichtiger. Lagertitel ...
www.springer.com/ cda/ content/ document/ cda_downloaddocument/ fach0711n.pdf?SGWID=0-0-45-455219-0

Phys. Rev. D 68, 126004 (2003): Sharpe - Analogues of discrete ...
@14# J.-L. Brylinski, Loop Spaces, Characteristic Classes, and Geometric Quantization ~Birkha"user, Boston, 1993!. @15# K. Brown, Cohomology of Groups ...
link.aps.org/ doi/ 10.1103/ PhysRevD.68.126004

livre loop spaces, characteristic classes and geometric ...
Loop spaces, characteristic classes and geometric quantization. Auteur(s) : BRYLINSKI Jean-Luc Date de parution: 11-2007 Langue : ANGLAIS 302p. Soft-cover ...
www.lavoisier.fr/ notice/ fr421759.html

Books and Audio books Part 5:All Subjects .All subjects fiction ...
Loop Spaces, Characteristic Classes and Geometric Quantization.djvu, 2.96 MB. img.gif, Lopuszanski.J..Introduction.to.symmetry.and.supersymmetry.in.QFT. ...
torrentz.ws/ torrent/ 833625/ Books-and-Audio-books-Part-5-All-Subjects-All-subjects-fiction-and-nonfiction-1S-0L

unorganized | Word Processing | isohunt - the Bit Torrent search ...
Loop Spaces, Characteristic Classes and Geometric Quantization.djvu Lopuszanski. J..Introduction.to.symmetry.and.supersymmetry.in.QFT.(WS,.1991)(L)(T)(193s). ...
isohunt.com/ torrent_details/ 36268445/ Word+Processing?tab=summary

Fly-To-Australia.com | Australien Buecher | Australien dvd's ...
Suchen : Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhauser Classics) · Loop Spaces, Characteristic Classes and Geometric ...
www.australien-neuseeland.com/ cgi-bin/ australien-buecher/ australien-buecher.cgi?Keywords=bundle& SearchIndex=ForeignBooks

Bibliographic information