Witt invariants from q-series Z^\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\hat{Z}}$$\end{document}

被引：0
作者：
John Chae
机构：
[1] UC Davis,Center for Quantum Mathematics and Physics (QMAP)
来源：
Letters in Mathematical Physics | 2023年 / 113卷 / 1期
关键词：
Quantum invariants; Cobordism invariants; q-series; Chern-Simon gauge theory; Categorification; 57K16; 57K31; 57K41;
D O I：
10.1007/s11005-022-01629-9
中图分类号：
学科分类号：
摘要：
We present a relation between the Witt invariants of 3-manifolds and the Z^\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\hat{Z}}$$\end{document}-invariants. It provides an alternative approach to compute the Witt invariants of 3-manifolds, which were originally defined geometrically in four dimensions. We analyze various homology spheres including a hyperbolic manifold using this method.
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