Orientable smooth manifolds are essentially quasigroups (Charlotte Aten at BUGCAT 2021)
Channel: Charlotte Aten
Date: 2021-11-08

This is from my old YouTube channel. My new channel can be found at https://www.youtube.com/@CharlotteAten

This is my talk at Binghamton University's annual BUGCAT conference for 2021. I discuss the contents of a preprint Semin Yoo and I recently posted on the arXiv, which concerns the manufacture of (pseudo)manifolds from alternating n-quasigroups. I give an overview of our basic constructions and argue that every orientable triangulable manifold can be produced in this manner.


Corrections:
8:15 I meant 0-skeleton, not 1-skeleton.
25:30 The last bullet of the slide is missing an important part. The correct statement is on the slides linked below.



BUGCAT: https://seminars.math.binghamton.edu/BUGCAT/index.html
Slides: http://aten.cool/documents/BUGCAT_2021_quasigroup_manifolds.pdf
Semin Yoo: http://yooso.cool
The preprint: https://arxiv.org/abs/2110.05660