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

Time：2023-12-11 Mon 14:30-15:30

Venue：A3-4-101 ZOOM: 230 432 7880（PW: BIMSA）

Organizer：Matthew Burfitt, Tyrone Cutler, Jingyan Li, Jie Wu, Jiawei Zhou

Speaker：Mengmeng Zhang Hebei Normal University & BIMSA

Abstract

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.

DATEDecember 11, 2023

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