Exact Sequences in the Algebraic Theory of Surgery
by Andrew Ranicki
Publisher: Princeton University Press 1981
ISBN/ASIN: 0691082766
ISBN-13: 9780691082769
Number of pages: 881
Description:
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, as it was known at the time of publication.
Download or read it online for free here:
Download link
(13MB, PDF)
Similar books
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.
(9451 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.
(10395 views)
Floer Homology, Gauge Theory, and Low Dimensional Topologyby David Ellwood, at al. - 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.
(13501 views)
Manifoldsby 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.
(10031 views)