The finiteness conjecture for skein modules

• 成果类型: Article
• 署名作者: Gunningham, Sam; Jordan, David; Safronov, Pavel
• 署名单位: Montana State University System; Montana State University Bozeman; University of Edinburgh; University of Zurich
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-022-01167-0
• 发表日期: 2023
• 页码: 301-363
• 关键词: factorization homology; gauge-theory; QUANTIZATION; ALGEBRAS; surgery; THEOREM; SUM

摘要

We give a new, algebraically computable formula for skein modules of closed 3-manifolds via Heegaard splittings. As an application, we prove that skein modules of closed 3-manifolds are finite-dimensional, resolving in the affirmative a conjecture of Witten.