Let p and q be pairwise coprime with p not equal 0 and q > 0. Let the Brieskorn-Hamm manifold be a homology lens space and the order its the first homology group is |p|. We classify the Brieskorn-Hamm manifold and the resulting 3-manifold of p/q-surgery along a knot K in S-3 by using the Lescop invariant.
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Tokyo Univ Agr & Technol, Dept Math, Koganei, Tokyo 1848588, JapanTokyo Univ Agr & Technol, Dept Math, Koganei, Tokyo 1848588, Japan
Goda, Hiroshi
Hayashi, Chuichiro
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Japan Womens Univ, Dept Math & Phys Sci, Fac Sci, Bunkyo Ku, Tokyo 1128681, JapanTokyo Univ Agr & Technol, Dept Math, Koganei, Tokyo 1848588, Japan
Hayashi, Chuichiro
Song, Hyun-Jong
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Pukyong Natl Univ, Div Math Sci, Pusan 608737, South KoreaTokyo Univ Agr & Technol, Dept Math, Koganei, Tokyo 1848588, Japan