14 citations · 42 across the 10 of their papers we have counts for
5 papers · 1 filter
Finiteness of Fuchsian equations with unitarizable monodromy on compact Riemann surfaces
Sheng Tan
We prove that, on any compact Riemann surface, there are only finitely many meromorphic projective connections with prescribed singular points and real exponent differences whose p…
Derived Reconstruction of Semisimple Tensor and Module Categories
Sheng Tan
We study bounded derived categories of semisimple tensor categories and their semisimple module categories. These categories may have infinitely many simple isomorphism classes. We…
The Multivariable Strong Monodromy Conjecture for Plane Curves
Sheng Tan
We prove the multivariable Strong Monodromy Conjecture for the local topological zeta function of arbitrary tuples of nonzero nonunit plane curve germs. The entries may be nonreduc…
Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order
Zhian Jia, Sheng Tan
The tube algebra, which carries the structure of a weak Hopf algebra, is a fundamental tool for characterizing topological excitations in topological phases. In this work, we…
Topological quantum color code model on infinite lattice
Shiyu Cao, Zhian Jia, Sheng Tan
The color code model is a crucial instance of a Calderbank-Shor-Steane (CSS)-type topological quantum error-correcting code, which notably supports transversal implementation of th…