Casson`s Invariant for Oriented Homology Three–S – An Exposition. (MN–36) (Mathematical Notes, 36) - Hardcover

Akbulut, Selman; Mccarthy, John D.

Hardcover

ISBN 10: 0691636087 ISBN 13: 9780691636085

Publisher: Princeton University Press, 2019

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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Edition details

• Publisher: Princeton University Press
• Publication date: 2019
• Language: English
• ISBN 10: 0691636087
• ISBN 13: 9780691636085
• Binding: Hardcover
• Number of pages: 202