Casson's invariant for oriented homology 3-spheres : an exposition / by Selman Akbulut and John D. McCarthy

Akbulut, Selman

ISBN 10: 0691085633 / ISBN 13: 9780691085630

Published by Princeton, N.J. : Princeton University Press, 1990

About this Item

Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; xviii, 182 pages : illustrations. Notes; Includes bibliographical references. Contents; Cover; Contents; I: Representation Spaces; II: Heegard Decompositions and Stable Equivalence; III: Representation Spaces Associated to Heegard Decompositions; IV: Casson''s Invariant for Oriented Homology 3-Spheres; V: Casson''s Invariant for Knots in Homology 3-Spheres; VI: The Topology of the Space of Representations. Subjects; Three-manifolds (Topology).Invariants. Dimension 3. 1 Kg.

Seller Inventory # 430436

Bibliographic Details

• Title: Casson's invariant for oriented homology 3-spheres : an exposition / by Selman Akbulut and John D. McCarthy
• Publisher: Princeton, N.J. : Princeton University Press
• Publication Date: 1990
• Language: English
• ISBN 10: 0691085633
• ISBN 13: 9780691085630
• Binding: Soft cover
• Edition: First Edition.
• Weight: 1 kilogram

About this title

Synopsis

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson's original outline and proceed by giving needed details, including an exposition of Newstead's results. They have often chosen classical concrete approaches over general methods. For example, they did not attempt to give gauge theory explanations for the results of Newstead; instead they followed his original techniques.

Originally published in 1990.

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Synopsis

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via beautiful constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low dimensional topology. These notes grew out of a 1985 seminar conduct