Surgery on Compact Manifolds
by C.T.C. Wall, A. A. Ranicki
Publisher: American Mathematical Society 1999
ISBN/ASIN: 0821809423
ISBN-13: 9780821809426
Number of pages: 314
Description:
This book represents an attempt to collect and systematize the methods and main applications of the method of surgery, insofar as compact (but not necessarily connected, simply connected or closed) manifolds are involved.
Download or read it online for free here:
Download link
(2.2MB, PDF)
Similar books
Surgical Methods in Rigidityby F.T. Farrell - Springer
This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite.
(9598 views)
Geometric Topology: Localization, Periodicity and Galois Symmetryby Dennis Sullivan - Springer
In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.
(11770 views)
Four-manifolds, Geometries and Knotsby Jonathan Hillman - arXiv
The goal of the book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such knots.
(13809 views)
The Hauptvermutung Book: A Collection of Papers on the Topology of Manifoldsby A.A. Ranicki, et al, - Springer
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology.
(11326 views)