Casson's Invariant for Oriented Homology Three-Spheres : An Exposition. (MN-36) / John D. McCarthy, Selman Akbulut.

Format:

Book

Author/Creator:

Akbulut, Selman, 1949- author.

McCarthy, John D., 1955- author.

Series:

Mathematical notes (Princeton University Press) ; 36.

Mathematical Notes ; 3502

Language:

English

Subjects (All):

Three-manifolds (Topology).

Invariants.

Physical Description:

1 online resource (201 p.)

Edition:

Course Book

Other Title:

Homology 3-spheres.

Place of Publication:

Princeton, NJ : Princeton University Press, [2014]

Language Note:

In English.

Summary:

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.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Contents:

Frontmatter

Contents

Preface

Introduction

Chapter I: Representation Spaces

Chapter II: Heegard Decompositions and Stable Bquivalence

Chapter III: Representation Spaces Associated to Heegard Decompositions

Chapter IV; Casson's Invariant for Oriented Homology 3-spheres

Chapter V: Casson's invariant for knots in homology 3-spheres

Chapter VI: The Topology of the Space of Representations

References

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

0-691-60751-6

0-691-63608-7

1-4008-6062-8

OCLC:

891445692