{ "id": "2404.00939", "version": "v2", "published": "2024-04-01T05:52:57.000Z", "updated": "2025-01-22T03:11:05.000Z", "title": "Rational Homotopy Theory", "authors": [ "Alexander A. Voronov" ], "comment": "20 pages. In the version updated upon publication, material on the nerve of an $L_\\infty$-algebra is added, along with some minor updates", "journal": "Encyclopedia of Mathematical Physics (Second Edition), volume 4, Elsevier, 2025, 24-38", "doi": "10.1016/B978-0-323-95703-8.00207-X", "categories": [ "math.AT", "math-ph", "math.MP", "math.QA" ], "abstract": "This is a survey of Rational Homotopy Theory, intended for a Mathematical Physics readership.", "revisions": [ { "version": "v2", "updated": "2025-01-22T03:11:05.000Z" } ], "analyses": { "subjects": [ "55P62", "18N40" ], "keywords": [ "rational homotopy theory", "mathematical physics readership" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier" }, "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }