{"paper":{"title":"Notes on quantum weighted projective spaces and multidimensional teardrops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Simon A. Fairfax, Tomasz Brzezi\\'nski","submitted_at":"2014-12-11T09:53:28Z","abstract_excerpt":"It is shown that the coordinate algebra of the quantum $2n+1$-dimensional lens space $\\mathcal{O}(L^{2n+1}_q(\\prod_{i=0}^n m_i; m_0,\\ldots, m_n))$ is a principal $\\mathbb{Z}$-comodule algebra or the coordinate algebra of a circle principal bundle over the weighted quantum projective space $\\mathbb{WP}^n_q(m_0,\\ldots, m_n)$. Furthermore, the weighted $U(1)$-action or the $\\mathbb{CZ}$-coaction on the quantum odd dimensional sphere algebra $\\mathcal{O}(S^{2n+1}_q)$ that defines $\\mathbb{WP}^n_q(1,m_1,\\ldots, m_n)$ is free or principal. Analogous results are proven for quantum real weighted proje"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3586","kind":"arxiv","version":2},"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"}