The finiteness conjecture for skein modules

被引：9
作者：
Gunningham, Sam [1 ]
Jordan, David [2 ]
Safronov, Pavel [3 ]
机构：
[1] Montana State Univ, Dept Math Sci, Bozeman, MT USA
[2] Univ Edinburgh, Sch Math, Edinburgh, Scotland
[3] Univ Zurich, Inst Math, Zurich, Switzerland
来源：
INVENTIONES MATHEMATICAE | 2023年 / 232卷 / 01期
基金：
欧洲研究理事会; 瑞士国家科学基金会;
关键词：
FACTORIZATION HOMOLOGY; GAUGE-THEORY; QUANTIZATION; ALGEBRAS; SURGERY; THEOREM; SUM;
D O I：
10.1007/s00222-022-01167-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：301 / 363
页数：63
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