5 papers
Fundamentals of cubic skein modules
Rhea Palak Bakshi, Anthony Christiana, Huizheng Guo +6
Over the past thirty-seven years, the study of linear and quadratic skein modules has produced a rich and far-reaching skein theory, intricately connected to diverse areas of mathe…
Mono-anabelian Reconstruction of Number Fields with Restricted Ramification
Yu Mao, Xiao Wang
In this paper, we apply Hoshi's mono-anabelian reconstruction of number fields to establish a group-theoretic reconstruction of a number field K together with its maximal unramifie…
Persistence modules induced by inner functions
Jiaxing He, Bingzhe Hou, Xiao Wang +1
As well-known, inner functions play an important role in the study of bounded analytic function theory. In recent years, persistence module theory, as a main tool applied to Topolo…
Kauffman bracket skein module of two families of Seifert manifolds
Minyi Liang, Shangjun Shi, Xiao Wang
We compute the Kauffman bracket skein modules of Seifert manifolds and by providing presentations of them. From the…
On the Kauffman bracket skein module of
Rhea Palak Bakshi, Seongjeong Kim, Shangjun Shi +1
Determining the structure of the Kauffman bracket skein module of all -manifolds over the ring of Laurent polynomials is a big open problem in skein theor…