**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

**Special Course in Functional Analysis: (Non-)Commutative Topology**

by

**Ville Turunen**-

**Aalto TKK**

In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.

(

**5998**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.

(

**4549**views)

**Exact Sequences in the Algebraic Theory of Surgery**

by

**Andrew Ranicki**-

**Princeton University Press**

One of the principal aims of surgery theory is to classify the homotopy types of manifolds using tools from algebra and topology. The algebraic approach is emphasized in this book, and it gives the reader a good overview of the subject.

(

**4861**views)

**Noncommutative Localization in Algebra and Topology**

by

**Andrew Ranicki**-

**Cambridge University Press**

Noncommutative localization is a technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. The applications to topology are via the noncommutative localizations of the fundamental group rings.

(

**4260**views)