The Character Map
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Character Map In Non-abelian Cohomology, The: Twisted, Differential, And Generalized
Author: Domenico Fiorenza
language: en
Publisher: World Scientific
Release Date: 2023-08-11
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.
Windows Vista: The Complete Reference
Author: Margaret Levine Young
language: en
Publisher: McGraw Hill Professional
Release Date: 2007-03-13
The Ultimate Windows Vista Resource Take full advantage of the high-performance features available in Microsoft Windows Vista and experience the power of this integrated, next-generation operating system. Windows Vista: The Complete Reference shows you how to install and configure Windows Vista for optimal performance, customize the streamlined new desktop, display sidebars and gadgets, and enjoy all the entertainment capabilities, including music, movies, and games. Find out how to manage your files, install software and hardware, and use the latest Internet technologies. You'll also learn to secure your system, back up and restore your files, and set up a Local Area Network (LAN) so you can share resources. Filled with clear screenshots and detailed explanations, this is your one-stop guide to mastering Windows Vista. Customize your desktop with new UI components Use the new User Account Control (UAC) to prevent unauthorized changes to your computer Manage files and folders using Windows Flip 3D and Windows Live Taskbar thumbnails Protect your files using the Backup and Restore Center Manage and edit your photos with the new Windows Photo Gallery Keep track of your appointments with the new Windows Calendar Use Windows Media Center to record live TV and radio, view digital photos, play music, and burn CDs and DVDs Connect to the Internet and use Windows Mail, Internet Explorer 7, and Windows Live Messenger Secure your PC and use Windows Update Troubleshoot and tune Windows Vista for maximum performance
Awesome Hands-on Activities for Teaching Literary Elements
Setting Pop-ups, Paper-Chain Characters, Plot Mini-Books, and more to help students "learn by doing." Includes reproducible student direction sheets and rubrics.