Logo

Lecture Notes on Seiberg-Witten Invariants

Large book cover: Lecture Notes on Seiberg-Witten Invariants

Lecture Notes on Seiberg-Witten Invariants
by

Publisher: Springer
ISBN/ASIN: 3540412212
ISBN-13: 9783540412212
Number of pages: 130

Description:
This book gives 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, and that others have no smooth structure at all. This topic provides an excellent example of how global analysis techniques, which have been developed to study nonlinear partial differential equations, can be applied to the solution of interesting geometrical problems.

Home page url

Download or read it online for free here:
Download link
(550KB, PDF)

Similar books

Book cover: Special Course in Functional Analysis: (Non-)Commutative TopologySpecial Course in Functional Analysis: (Non-)Commutative Topology
by - 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.
(5956 views)
Book cover: Optimization Algorithms on Matrix ManifoldsOptimization Algorithms on Matrix Manifolds
by - 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.
(11132 views)
Book cover: Floer Homology, Gauge Theory, and Low Dimensional TopologyFloer Homology, Gauge Theory, and Low Dimensional Topology
by - American Mathematical Society
Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.
(7150 views)
Book cover: Exact Sequences in the Algebraic Theory of SurgeryExact Sequences in the Algebraic Theory of Surgery
by - 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.
(4825 views)