Differential Characters PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Differential Characters PDF full book. Access full book title Differential Characters by Christian Bär. Download full books in PDF and EPUB format.
Author: Christian Bär
Publisher: Springer
ISBN: 3319070347
Category : Mathematics
Languages : en
Pages : 198
Get Book
Book Description
Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.
Author: Christian Bär
Publisher: Springer
ISBN: 3319070347
Category : Mathematics
Languages : en
Pages : 198
Get Book
Book Description
Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.
Author: Domenico Fiorenza
Publisher: World Scientific
ISBN: 9811276714
Category : Mathematics
Languages : en
Pages : 248
Get Book
Book Description
This book presents a novel development of fundamental and fascinating aspects of algebraic topology and mathematical physics: 'extra-ordinary' and further generalized cohomology theories enhanced to 'twisted' and differential-geometric form, with focus on, firstly, their rational approximation by generalized Chern character maps, and then, the resulting charge quantization laws in higher n-form gauge field theories appearing in string theory and the classification of topological quantum materials.Although crucial for understanding famously elusive effects in strongly interacting physics, the relevant higher non-abelian cohomology theory ('higher gerbes') has had an esoteric reputation and remains underdeveloped.Devoted to this end, this book's theme is that various generalized cohomology theories are best viewed through their classifying spaces (or moduli stacks) — not necessarily infinite-loop spaces — from which perspective the character map is really an incarnation of the fundamental theorem of rational homotopy theory, thereby not only uniformly subsuming the classical Chern character and a multitude of scattered variants that have been proposed, but now seamlessly applicable in the hitherto elusive generality of (twisted, differential, and) non-abelian cohomology.In laying out this result with plenty of examples, this book provides a modernized introduction and review of fundamental classical topics: 1. abstract homotopy theory via model categories; 2. generalized cohomology in its homotopical incarnation; 3. rational homotopy theory seen via homotopy Lie theory, whose fundamental theorem we recast as a (twisted) non-abelian de Rham theorem, which naturally induces the (twisted) non-abelian character map.
Author: Auguste Chauveau
Publisher:
ISBN:
Category : Anatomy, Comparative
Languages : en
Pages : 1512
Get Book
Book Description
Author: Alessandro Passerin d&Entrèves
Publisher: Transaction Publishers
ISBN: 1412829429
Category :
Languages : en
Pages : 232
Get Book
Book Description
Author: Xianzhe Dai
Publisher: Springer Science & Business Media
ISBN: 3034802579
Category : Mathematics
Languages : en
Pages : 364
Get Book
Book Description
Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang
Author: Charles Chamberlain Hurst
Publisher:
ISBN:
Category : Genetics
Languages : en
Pages : 804
Get Book
Book Description
Author: Horticultural Society of New York
Publisher:
ISBN:
Category : Horticultural societies
Languages : en
Pages : 468
Get Book
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 468
Get Book
Book Description
Author:
Publisher:
ISBN:
Category : Genetics
Languages : en
Pages : 290
Get Book
Book Description
Author:
Publisher:
ISBN:
Category : Acclimatization (Plants)
Languages : en
Pages : 294
Get Book
Book Description