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Download or read book Kahler Geometry of Loop Spaces written by Armen G. Sergeev and published by . This book was released on 2008 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Armen Sergeev
Publisher: Mathematical Society Of Japan Memoirs
Published: 2010-05
Total Pages: 212
ISBN-13: 9784931469600
DOWNLOAD EBOOKIn this book we study three important classes of infinite-dimensional KÄhler manifolds - loop spaces of compact Lie groups, TeichmÜller spaces of complex structures on loop spaces, and Grassmannians of Hilbert spaces. Each of these manifolds has a rich KÄhler geometry, considered in the first part of the book, and may be considered as a universal object in a category, containing all its finite-dimensional counterparts. On the other hand, these manifolds are closely related to string theory. This motivates our interest in their geometric quantization presented in the second part of the book together with a brief survey of geometric quantization of finite-dimensional KÄhler manifolds. The book is provided with an introductory chapter containing basic notions on infinite-dimensional Frechet manifolds and Frechet Lie groups. It can also serve as an accessible introduction to KÄhler geometry of infinite-dimensional complex manifolds with special attention to the aforementioned three particular classes. It may be interesting for mathematicians working with infinite-dimensional complex manifolds and physicists dealing with string theory. Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
Download or read book Kahler geometry of loop spaces written by Armen Sergeev and published by Mathematical Society Of Japan Memoirs. This book was released on 2010-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we study three important classes of infinite-dimensional KÄhler manifolds - loop spaces of compact Lie groups, TeichmÜller spaces of complex structures on loop spaces, and Grassmannians of Hilbert spaces. Each of these manifolds has a rich KÄhler geometry, considered in the first part of the book, and may be considered as a universal object in a category, containing all its finite-dimensional counterparts. On the other hand, these manifolds are closely related to string theory. This motivates our interest in their geometric quantization presented in the second part of the book together with a brief survey of geometric quantization of finite-dimensional KÄhler manifolds. The book is provided with an introductory chapter containing basic notions on infinite-dimensional Frechet manifolds and Frechet Lie groups. It can also serve as an accessible introduction to KÄhler geometry of infinite-dimensional complex manifolds with special attention to the aforementioned three particular classes. It may be interesting for mathematicians working with infinite-dimensional complex manifolds and physicists dealing with string theory. Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
Author: Jean-Luc Brylinski
Publisher: Springer Science & Business Media
Published: 2009-12-30
Total Pages: 318
ISBN-13: 0817647317
DOWNLOAD EBOOKThis book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of the electrical charge.
Download or read book Loop Spaces, Characteristic Classes and Geometric Quantization written by Jean-Luc Brylinski and published by Springer Science & Business Media. This book was released on 2009-12-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of the electrical charge.
Download or read book String Theory as the Kähler Geometry of Loop Space written by Mark J. Bowick and published by . This book was released on 1987 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Hans J. Baues
Publisher: American Mathematical Soc.
Published: 1980
Total Pages: 194
ISBN-13: 0821822306
DOWNLOAD EBOOKThe homology of iterated loop spaces [capital Greek]Omega [superscript]n [italic]X has always been a problem of major interest because it gives some insight into the homotopy of [italic]X, among other things. Therefore, if [italic]X is a CW-complex, one has been interested in small CW models for [capital Greek]Omega [superscript]n [italic]X in order to compute the cellular chain complex. The author proves a very general model theorem from which he can derive models, in addition to very technical proofs of the model theorem for several other models.
Download or read book Geometry of Loop Spaces and the Cobar Construction written by Hans J. Baues and published by American Mathematical Soc.. This book was released on 1980 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The homology of iterated loop spaces [capital Greek]Omega [superscript]n [italic]X has always been a problem of major interest because it gives some insight into the homotopy of [italic]X, among other things. Therefore, if [italic]X is a CW-complex, one has been interested in small CW models for [capital Greek]Omega [superscript]n [italic]X in order to compute the cellular chain complex. The author proves a very general model theorem from which he can derive models, in addition to very technical proofs of the model theorem for several other models.
Download or read book The Geometry of Iterated Loop Spaces written by J. Peter May and published by . This book was released on 1972 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: J. P. May
Publisher:
Published: 2014-01-15
Total Pages: 192
ISBN-13: 9783662192641
DOWNLOAD EBOOKDownload or read book The Geometry of Iterated Loop Spaces written by J. P. May and published by . This book was released on 2014-01-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry of Loop Spaces and the Cobar Construction written by Hans Joachim Baues and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: J. Peter May
Publisher: Springer
Published: 1972
Total Pages: 175
ISBN-13: 9780387059044
DOWNLOAD EBOOKDownload or read book The Geometry of Iterated Loop Spaces written by J. Peter May and published by Springer. This book was released on 1972 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: John Frank Adams
Publisher: Princeton University Press
Published: 1978-09-21
Total Pages: 228
ISBN-13: 0691082065
DOWNLOAD EBOOKThe theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.
Download or read book Infinite Loop Spaces written by John Frank Adams and published by Princeton University Press. This book was released on 1978-09-21 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.
