Torus Berry Data Determine All-Genus Abelian Topological Orders
cond-mat.str-el, hep-th, math-ph, math.MP
Submitted: 2026-08-20
Updated: 2026-09-23
Terminology
Sources
- The Ground State Structure and Modular Transformations of Fractional Quantum Hall States on a Torus
- Modular transformation and bosonic/fermionic topological orders in Abelian fractional quantum Hall states
- A theory of 2+1D bosonic topological orders
- Modular transformations and topological orders in two dimensions
- Measuring Modular Matrices by Shearing Lattices
- Distinguish modular categories and 2+1D topological orders beyond modular data: Mapping class group of higher genus manifold
- Classification of abelian spin Chern-Simons theories
- Abelian Chern-Simons theory with toral gauge group, modular tensor categories, and group categories
- From classical theta functions to topological quantum field theory
- Classification of Extended Abelian Chern-Simons Theories
- Toral Chern-Simons TQFT via Geometric Quantization in Real Polarization
- Equivalence of toral Chern-Simons and Reshetikhin-Turaev theories
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