The K-Theoretic Bulk–Edge Correspondence for Topological Insulators C Bourne, J Kellendonk, A Rennie
Annales Henri Poincaré 18 (5), 1833-1866, 2017
71 2017 Non-commutative Chern numbers for generic aperiodic discrete systems C Bourne, E Prodan
Journal of Physics A: Mathematical and Theoretical 51 (23), 235202, 2018
65 2018 A non-commutative framework for topological insulators C Bourne, AL Carey, A Rennie
Reviews in Mathematical Physics 28 (02), 1650004, 2016
60 2016 Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases C Bourne, A Rennie
Mathematical Physics, Analysis and Geometry 21 (3), 16, 2018
39 2018 The bulk-edge correspondence for the quantum Hall effect in Kasparov theory C Bourne, AL Carey, A Rennie
Letters in Mathematical Physics 105 (9), 1253-1273, 2015
34 2015 The classification of symmetry protected topological phases of one-dimensional fermion systems C Bourne, Y Ogata
Forum of Mathematics, Sigma 9, 2021
27 2021 Index theory and topological phases of aperiodic lattices C Bourne, B Mesland
Annales Henri Poincaré 20 (6), 1969-2038, 2019
17 2019 On ℤ 2-indices for ground states of fermionic chains C Bourne, H Schulz-Baldes
Reviews in Mathematical Physics 32 (9), 2050028, 2020
12 2020 Topological states of matter and noncommutative geometry C Bourne
The Australian National University, 2015
10 2015 The KO-valued spectral flow for skew-adjoint Fredholm operators C Bourne, AL Carey, M Lesch, A Rennie
Journal of Topology and Analysis 14 (2), 505-556, 2020
9 2020 Application of semifinite index theory to weak topological phases, in 2016 MATRIX Annals, MATRIX Book Ser., Vol. 1 C Bourne, H Schulz-Baldes
arXiv preprint arXiv:1612.01613, 203-227, 2018
8 * 2018 Localised module frames and Wannier bases from groupoid Morita equivalences C Bourne, B Mesland
Journal of Fourier Analysis and Applications 27 (69), 2021
7 * 2021 The Cayley transform in complex, real and graded -theory C Bourne, J Kellendonk, A Rennie
International Journal of Mathematics 31 (9), 2050074, 2020
7 2020 Locally equivalent quasifree states and index theory C Bourne
Journal of Physics A: Mathematical and Theoretical 55 (10), 104004, 2022
5 2022 Index theory of chiral unitaries and split-step quantum walks C Bourne
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 19, 053, 2023
3 2023 The K-theoretic classification of topological insulators and superconductors C Bourne
2023