» » Exotic Smoothness and Physics Differential Topology and Spacetime Models

Information of news
25-12-2013, 01:10

Exotic Smoothness and Physics Differential Topology and Spacetime Models

Category: E-Books

Exotic Smoothness and Physics Differential Topology and Spacetime Models

Exotic Smoothness and Physics: Differential Topology and Spacetime Models
English | 336 pages | ISBN-10: 981024195X | PDF | 14.98 MB

The recent revolution in differential topology related to the discovery of non-standard ("exotic") smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit - but now shown to be incorrect - assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are the mathematical models for physical coordinate transformations, Einstein's relativity principle requires that these models be physically inequivalent. This book provides an introductory survey of some of the relevant mathematics and presents preliminary results and suggestions for further applications to spacetime models.

Introduction and Background
Algebraic Tools for Topology
Smooth Manifolds, Geometry
Bundles, Geometry, Gauge Theory
Gauge Theory and Moduli Space
A Guide to the Classification of Manifolds
Early Exotic Manifolds
The First Results in Dimension Four
Seiberg-Witten Theory: The Modern Approach
Physical Implications
From Differential Structures to Operator Algebras and Geometric Structures

Buy Premium Account From My Download Links And Get Resumable Support & SUPER Fastest speed


Site BBcode/HTML Code:
Dear visitor, you went to the site as unregistered user.
We recommend you Sign up or Login to website under your name.
Would you like to leave your comment? Please Login to your account to leave comments. Don't have an account? You can create a free account now.