Bulk-interface correspondences for one dimensional topological materials with inversion symmetry

Guo Chuan Thiang, Hai Zhang

T-duality simplifies bulk-boundary correspondence: the noncommutative case

Keith C. Hannabuss, Varghese Mathai, Guo Chuan Thiang

Global topology of Weyl semimetals and Fermi arcs

Varghese Mathai, Guo Chuan Thiang

Good Wannier bases in Hilbert modules associated to topological insulators

Matthias Ludewig, Guo Chuan Thiang

T-duality simplifies bulk-boundary correspondence

Varghese Mathai, Guo Chuan Thiang

The Fermi gerbe of Weyl semimetals

Alan Carey, Guo Chuan Thiang

Topological characterization of classical waves: the topological origin of magnetostatic surface spin waves

Kei Yamamoto, Guo Chuan Thiang, Philipp Pirro +3

Topological phases: isomorphism, homotopy and $K$-theory

Guo Chuan Thiang

Topology in shallow-water waves: A spectral flow perspective

Clément Tauber, Guo Chuan Thiang

Quantization of conductance and the coarse cohomology of partitions

Matthias Ludewig, Guo Chuan Thiang

'Real' gerbes and Dirac cones of topological insulators

Kiyonori Gomi, Guo Chuan Thiang

T-duality simplifies bulk-boundary correspondence: some higher dimensional cases

Varghese Mathai, Guo Chuan Thiang

Crystallographic T-duality

Kiyonori Gomi, Guo Chuan Thiang

Fractional index of Bargmann-Fock space and Landau levels

Guo Chuan Thiang

Delocalized spectra of Landau operators on helical surfaces

Yosuke Kubota, Matthias Ludewig, Guo Chuan Thiang

On the K-theoretic classification of topological phases of matter

Guo Chuan Thiang

Edge-following topological states

Guo Chuan Thiang

Degree of separability of bipartite quantum states

Guo Chuan Thiang

Large-scale geometry obstructs localization

Matthias Ludewig, Guo Chuan Thiang

Fu-Kane-Mele monopoles in semimetals

Guo Chuan Thiang, Koji Sato, Kiyonori Gomi

T-duality trivializes bulk-boundary correspondence: the parametrised case

Keith Hannabuss, Varghese Mathai, Guo Chuan Thiang

Some attempts at proving the non-existence of a full set of mutually unbiased bases in dimension 6

Guo Chuan Thiang

Cobordism invariance of topological edge-following states

Matthias Ludewig, Guo Chuan Thiang

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…

Optimal Lewenstein-Sanpera decomposition of two-qubit states using Semidefinite Programming

Guo Chuan Thiang, Philippe Raynal, Berthold-Georg Englert

Twisted crystallograpic T-duality via the Baum--Connes isomorphism

Kiyonori Gomi, Yosuke Kubota, Guo Chuan Thiang

Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry

Matthias Ludewig, Guo Chuan Thiang

Differential topology of semimetals

Varghese Mathai, Guo Chuan Thiang

T-Duality of Topological Insulators

Varghese Mathai, Guo Chuan Thiang

Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices

Kiyonori Gomi, Guo Chuan Thiang

Large-scale quantization of trace I: Finite propagation operators

Matthias Ludewig, Guo Chuan Thiang

Proof of Kitaev determinant trivialization conjecture

Guo Chuan Thiang

Topological Semimetals

Guo Chuan Thiang

Topological edge states of 1D chains and index theory

Guo Chuan Thiang

Topological phases on the hyperbolic plane: fractional bulk-boundary correspondence

Varghese Mathai, Guo Chuan Thiang

On spectral flow and Fermi arcs

Guo Chuan Thiang

Fock space: A bridge between Fredholm index and the quantum Hall effect

Guo Chuan Thiang, Jingbo Xia