On a theorem of murasug
Let l=k1⋃k2be a 2-component link in S3with k2unknotted. The 2-fold cover of S3branched over k2is again S8; let k1(2) be the inverse image of k1and suppose that k1(2) is connected. How are the signatures σ(k1), σ(K1)(2) of the knots k1and K1(2)related? This question was considered (from a slightly different point of view) by Murasugi, who gave the following answer [Topology, 9 (1970), 283-298]. © 1979, University of California, Berkeley. All Rights Reserved.
Publication Source (Journal or Book title)
Pacific Journal of Mathematics
Gordon, C., & Litherland, R. (1979). On a theorem of murasug. Pacific Journal of Mathematics, 82 (1), 69-74. https://doi.org/10.2140/pjm.1979.82.69