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math.GT2024
Embedding periodic maps of surfaces into those of spheres with minimal dimensions
Chao Wang, Shicheng Wang, Zhongzi Wang
It is known that any periodic map of order on a closed oriented surface of genus can be equivariantly embedded into for some . In the orientable and smooth categor…
math.GT2024
Achirality of Sol 3-Manifolds, Stevenhagen Conjecture and Shimizu's L-series
Ye Tian, Shicheng Wang, Zhongzi Wang
A closed orientable manifold is {\em achiral} if it admits an orientation reversing homeomorphism. A commensurable class of closed manifolds is achiral if it contains an achiral el…