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The $\Delta$-Twisted Homology and Fiber Bundle Structure of The Twisted Simplicial Sets

组织者

马修·伯菲特 , Tyrone Cutler , 李京艳 , 吴杰 , 周嘉伟

演讲者

张蒙蒙

时间

2023年12月11日 14:30 至 15:30

地点

A3-4-101

线上

Zoom 230 432 7880 (BIMSA)

摘要

In this talk, I will firstly review some kinds of homology such as weighted homology, $\delta$-homology, $\delta$-twisted homology. Then we define a $\Delta$-twisted homology on simplicial set, which can unify above homologies. Moreover, inspired by the classical twisted Cartesian product introduced by Barratte, Gugenheim, Moore, we also explore the fiber bundle structure on $\Delta$-twisted simplicial sets.