**Floer Homology, Gauge Theory, and Low Dimensional Topology**

by David Ellwood, at al.

**Publisher**: American Mathematical Society 2006**ISBN/ASIN**: 0821838458**ISBN-13**: 9780821838457**Number of pages**: 314

**Description**:

Mathematical gauge theory studies connections on principal bundles, or, more precisely, the solution spaces of certain partial differential equations for such connections. Historically, these equations have come from mathematical physics, and play an important role in the description of the electro-weak and strong nuclear forces.

Download or read it online for free here:

**Download link**

(3.1MB, PDF)

## Similar books

**The Convenient Setting of Global Analysis**

by

**Andreas Kriegl, Peter W. Michor**-

**American Mathematical Society**

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.

(

**11088**views)

**Manifolds**

by

**Neil Lambert**-

**King's College London**

From the table of contents: Manifolds (Elementary Topology and Definitions); The Tangent Space; Maps Between Manifolds; Vector Fields; Tensors; Differential Forms; Connections, Curvature and Metrics; Riemannian Manifolds.

(

**7416**views)

**Manifolds and Differential Forms**

by

**Reyer Sjamaar**-

**Cornell University**

The text covers manifolds and differential forms for an audience of undergraduates who have taken a typical calculus sequence, including basic linear algebra and multivariable calculus up to the integral theorems of Green, Gauss and Stokes.

(

**9881**views)

**Optimization Algorithms on Matrix Manifolds**

by

**P.-A. Absil, R. Mahony, R. Sepulchre**-

**Princeton University Press**

Many science and engineering problems can be rephrased as optimization problems on matrix search spaces endowed with a manifold structure. This book shows how to exploit the structure of such problems to develop efficient numerical algorithms.

(

**14182**views)