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We determine which coefficient $r$ of the knotted component of the link yields a lens space by Dehn surgery. The link $A_{m,n}$ yields a lens space only by the known surgery with $r=mn$ and unexpectedly with $r=7$ for $(m,n)=(2,3)$. On the other hand, $B_{p,q}$ yields a lens space by infinitely many $r$. Our main tool for the proof is the Reidemeister-Turaev torsions, i.e.\\ Reidemeiste"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1204.4577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-20T10:21:08Z","cross_cats_sorted":[],"title_canon_sha256":"e28f9e4977499758ff827d5e67d803c06e4b9ddbc2f6922ca9fc2f7c1a426a16","abstract_canon_sha256":"16dbf4e9d3c28c294aa800afb7561a77ce6592a737561abb3f98f73e0728a77c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:26.076761Z","signature_b64":"bEmkflryrcR0Bfdg9ZY30JaOSnLIP3kUWV73mCVCe+XDw5yRWTVzrMsB3/SZlAhW/8907KSw7p7SkdYeKST5Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82a27a95bb948d4da34be0ebaef3fc68d3e05d8b01283160e9c6f4ac6c32d389","last_reissued_at":"2026-05-18T03:57:26.076068Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:26.076068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lens space surgeries along certain 2-component links related with Park's rational blow down, and Reidemeister-Turaev torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Teruhisa Kadokami, Yuichi Yamada","submitted_at":"2012-04-20T10:21:08Z","abstract_excerpt":"We study lens space surgeries along two different families of 2-component links, denoted by $A_{m,n}$ and $B_{p,q}$, related with the rational homology 4-ball used in J.\\ Park's (generalized) rational blow down. We determine which coefficient $r$ of the knotted component of the link yields a lens space by Dehn surgery. The link $A_{m,n}$ yields a lens space only by the known surgery with $r=mn$ and unexpectedly with $r=7$ for $(m,n)=(2,3)$. On the other hand, $B_{p,q}$ yields a lens space by infinitely many $r$. 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