An Extension of Casson's Invariant
Kevin Walker(Author)
Princeton University Press
Published on 23. March 1992
Book
Hardback
150 pages
978-0-691-08766-5 (ISBN)
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Description
This monograph describes an invariant, lambda, of oriented rational homology 3-spheres, which is a generalization of Andrew Casson's work in the integer homology sphere case. A formula describing how lambda transforms under Dehn surgery is provided. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of lambda. It is also shown that when M is a Z2-homology sphere, lambda (M) determines the Rochlin invariant of M.
Reviews / Votes
"[This is] a monograph describing Walker's extension of Casson's invariant to Q HS . . . This is a fascinating subject and Walker's book is informative and well written . . . it makes a rather pleasant introduction to a very active area in geometric topology." * Bulletin of the American Mathematical Society *More details
Series
Language
English
Place of publication
New Jersey
United States
Target group
College/higher education
Professional and scholarly
Product notice
Trade binding
ISBN-13
978-0-691-08766-5 (9780691087665)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Kevin Walker
An Extension of Casson's Invariant
Extension of Casson's Invariant. (AM-126), Volume 126
E-Book
06/2016
1st Edition
Princeton University Press
€79.49
Available for download