2 papers
math.GT2024
The necessity of (co)unit in nearly Frobenius algebra
Zhiyun Cheng, Ziyi Lei
In this article, we concern the concept of nearly Frobenius algebra, which corresponds to most 2D-TQFT of which each cobordism admits no critical points of index 0 or 2. We prove t…
math.GT2024
A categorification for the partial-dual genus polynomial
Zhiyun Cheng, Ziyi Lei
The partial-dual genus polynomial of a ribbon graph is the generating function that enumerates all partial duals of . In this paper, we give a ca…