{"paper":{"title":"The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SG","authors_text":"Theo Johnson-Freyd","submitted_at":"2016-03-21T20:28:49Z","abstract_excerpt":"We show that the Morita equivalences $\\mathrm{Cliff}(4) \\simeq {\\mathbb H}$, $\\mathrm{Cliff}(7) \\simeq \\mathrm{Cliff}(-1)$, and $\\mathrm{Cliff}(8) \\simeq {\\mathbb R}$ arise from quantizing the Hamiltonian reductions ${\\mathbb R}^{0|4} // \\mathrm{Spin}(3)$, ${\\mathbb R}^{0|7} // G_2$, and ${\\mathbb R}^{0|8} // \\mathrm{Spin}(7)$, respectively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06603","kind":"arxiv","version":3},"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"}