{"paper":{"title":"Classification of Q-trivial Bott manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Mikiya Masuda, Suyoung Choi","submitted_at":"2009-12-27T05:30:51Z","abstract_excerpt":"A Bott manifold is a closed smooth manifold obtained as the total space of an iterated $\\C P^1$-bundle starting with a point, where each $\\C P^1$-bundle is the projectivization of a Whitney sum of two complex line bundles. A \\emph{$\\Q$-trivial Bott manifold} of dimension $2n$ is a Bott manifold whose cohomology ring is isomorphic to that of $(\\CP^1)^n$ with $\\Q$-coefficients. We find all diffeomorphism types of $\\Q$-trivial Bott manifolds and show that they are distinguished by their cohomology rings with $\\Z$-coefficients. As a consequence, we see that the number of diffeomorphism classes in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5000","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}