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math.GT2024
Stable Andrews-Curtis Conjecture via Fake Surfaces and Zeeman Conjecture
Lucas Fagan, Yang Qiu, Zhenghan Wang
We propose an induction scheme that aims at establishing the stable Andrews-Curtis conjecture in the affirmative. The stable Andrews-Curtis conjecture is equivalent to the conjectu…
math.GT2024
Classification of Cellular Fake Surfaces
Lucas Fagan, Yang Qiu, Zhenghan Wang
Generic polyhedra are interesting mathematical objects to study in their own right. In this paper, we initialize a systematic study of two-dimensional generic polyhedra with an eye…