Abstract
Casson defined his λ-invariant for integral homology 3-spheres in a series of lectures at MSRI in 1985. Detailed expositions can be found in [5], [133] and [275]. We first give an axiomatic definition of Casson’s invariant and prove its uniqueness and some basic properties. Then we prove existence by providing an explicit construction of λ. Deeper properties of the invariant together with some applications are described in the last three sections of this chapter.
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© 2002 Springer-Verlag Berlin Heidelberg
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Saveliev, N. (2002). Casson Invariant. In: Invariants for Homology 3-Spheres. Encyclopaedia of Mathematical Sciences, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04705-7_3
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DOI: https://doi.org/10.1007/978-3-662-04705-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07849-1
Online ISBN: 978-3-662-04705-7
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