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More precisely, any positive stabilization of $(\\Sigma,h)$ is induced by the corresponding positive stabilization of $\\pi$, and conversely any positive stabilization of $\\pi$ induces the corresponding positive stabilization of $(\\Sigma,h)$. We define \\emph{exact open books} as boundary open books of compatible exact Lefsche"},"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":"1112.0519","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-12-02T17:43:25Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"d4399503c88a6f062932a9becf7fe82bbd6512b1a2e092acd8483879bf279bd3","abstract_canon_sha256":"aa298f03d84c066e3458a3bae7c66b7dbe5906fe004074e493db4dcf447ce00d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:46.748511Z","signature_b64":"k/nqb8B5s+8XWHzqV7ZLoaazUlSjhOLCGAFkibhc1oHlKeOJe20lD1zsLOeza+VPCfvVBHB/001A1Xw8Jh4bDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"881ec2e4b86391c0734e8a002547d3bb21ca2094756decd48537d0b3147c99f8","last_reissued_at":"2026-05-18T03:55:46.748073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:46.748073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stabilizations via Lefschetz Fibrations and Exact Open Books","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"M. Firat Arikan, Selman Akbulut","submitted_at":"2011-12-02T17:43:25Z","abstract_excerpt":"We show that if a contact open book $(\\Sigma,h)$ on a $(2n+1)$-manifold $M$ ($n\\geq1$) is induced by a Lefschetz fibration $\\pi:W \\to D^2$, then there is a one-to-one correspondence between positive stabilizations of $(\\Sigma,h)$ and \\emph{positive stabilizations} of $\\pi$. More precisely, any positive stabilization of $(\\Sigma,h)$ is induced by the corresponding positive stabilization of $\\pi$, and conversely any positive stabilization of $\\pi$ induces the corresponding positive stabilization of $(\\Sigma,h)$. 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