Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words

期刊论文
发表日期：

2024年11月26日

查看全文

Paul Gustafson,
Mee Seong Im,
Mikhail Khovanov

摘要

Any finite state automaton gives rise to a Boolean one-dimensional TQFT with defects and inner endpoints of cobordisms. This paper extends the correspondence to Boolean TQFTs where defects accumulate towards inner endpoints, relating such TQFTs and topological theories to sofic systems and $\omega $ $ω$ -automata.