From the 1 of 4 linked papers with an AI index.
4 papers
Consistent symmetry breaking and topological phases
Yuezhao Li, Guo Chuan Thiang
The paper studies operators that are invariant under a symmetry group and shows that their equivariant indices must remain consistent when the symmetry is reduced to a finite‑index…
Proof of Kitaev determinant trivialization conjecture
Guo Chuan Thiang
Using ideas from algebraic -theory, we prove that a simple and naturally applicable criterion of Kitaev suffices to trivialize the Fredholm determinant of a multiplicative commu…
Large-scale quantization of trace I: Finite propagation operators
Matthias Ludewig, Guo Chuan Thiang
Inspired by parallel developments in coarse geometry in mathematics and exact macroscopic quantization in physics, we present a family of general trace formulae which are universal…
Fractional index of Bargmann-Fock space and Landau levels
Guo Chuan Thiang
The lowest Landau level Hilbert space, or the Bargmann-Fock space, admits a quantized trace for the commutator of its position coordinate operators. We exploit the Carey-Pincus the…