High-dimensional Knot Theory
by Andrew Ranicki
Publisher: Springer 1998
ISBN/ASIN: 3540633898
ISBN-13: 9783540633891
Number of pages: 693
Description:
This book is devoted entirely to high-dimensional knot theory. It actually has two aims: (1) to serve as an introduction to high-dimensional knot theory, using surgery theory to provide a systematic exposition, (2) to serve as an introduction to algebraic surgery theory, using high-dimensional knots as the geometric motivation.
Download or read it online for free here:
Download link
(3MB, PDF)
Similar books
Ends of Complexesby Bruce Hughes, Andrew Ranicki - Cambridge University Press
The book gathers together the main strands of the theory of ends of manifolds from the last thirty years and presents a unified and coherent treatment of them. It also contains authoritative expositions of mapping tori and telescopes.
(9257 views)
Algebraic L-theory and Topological Manifoldsby A. A. Ranicki - Cambridge University Press
Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds.
(9554 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.
(9505 views)
Lower K- and L-theoryby Andrew Ranicki - Cambridge University Press
This is the first treatment of the applications of the lower K- and L-groups to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. Only elementary constructions are used.
(9741 views)