5 papers
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
Let be a tuple of holomorphic germs on a smooth complex germ, and let be its Bernstein--Sato ideal. We develop an iterated-residue obstruction showin…
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…
Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs
Zhian Jia, Sheng Tan
We investigate domain walls between 2d gapped phases of Turaev-Viro type topological quantum field theories (TQFTs) by constructing domain wall tube algebras. We begin by analyzing…