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math.GT2022
On skein algebras of planar surfaces
Haimiao Chen
Let be a commutative ring with identity and a fixed invertible element . Let denote the Kauffman bracket skein algebra of the -holed disk $Σ…
math.GR2022
A new approach to the genus spectra of abelian -groups
Haimiao Chen, Yang Li
Given a finite group , the {\it genus spetrum} of is the set of integers such that can act faithfully on an orientable closed surface of genus $g…
math.GT2022
The -character variety of the Borromean link
Haimiao Chen, Tiantian Yu
For the Borromean link, we determine its irreducible -character variety, and find a formula for the twisted Alexander polynomial as a function on the charac…