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Mutations of homology spheres and Casson's invariant

Published online by Cambridge University Press:  24 October 2008

Paul A. Kirk
Paul A. Kirk
Affiliation:
Department of Mathematics, Brandeis University, Waltham, M A 02254, U.S.A.
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Extract

Given an embedding of an oriented surface F in an oriented three-manifold M and a homeomorphism h of F, one can construct another three-manifold Mn by cutting M along F and re-glueing the two boundary components using h. Let F be a genus two surface and r the involution which exhibits F as the 2-fold branched cover of S2 branched over six points. In this special case we call Mr the mutation of M along F.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 2 , March 1989 , pp. 313 - 318
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

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