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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The Rochlin invariant of surgered, sewn link exteriors


Author: Mark R. Woodard
Journal: Proc. Amer. Math. Soc. 112 (1991), 211-221
MSC: Primary 57N10; Secondary 57M25, 57R20
MathSciNet review: 1034890
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Abstract: One method of producing $ 3$-manifolds is the sewing-up construction of W. R. Brakes. This involves identifying the boundary components of the exterior of a $ 2$-component link. Under certain assumptions, this process yields homology handles which can be surgered to obtain homology spheres. The main result is a formula for the Rochlin invariant of homology spheres obtained by this construction when the link is proper.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1034890-3
PII: S 0002-9939(1991)1034890-3
Article copyright: © Copyright 1991 American Mathematical Society