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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Article copyright: © Copyright 1991 American Mathematical Society