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
Topologyby Curtis T. McMullen - Harvard University
Contents: Introduction; Background in set theory; Topology; Connected spaces; Compact spaces; Metric spaces; Normal spaces; Algebraic topology and homotopy theory; Categories and paths; Path lifting and covering spaces; Global topology; etc.
(4618 views)
Lectures on Sheaf Theoryby C.H. Dowker - Tata Institute of Fundamental Research
A sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space. Contents: Sheaves; Sections; Cohomology groups of a space with coefficients in a presheaf; Introduction of the family Phi; etc.
(6827 views)
Lecture Notes on Seiberg-Witten Invariantsby John Douglas Moore - Springer
A streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure.
(7049 views)
Noncommutative Localization in Algebra and Topologyby 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.
(6243 views)