Chris Bourne
Title
Cited by
Cited by
Year
The K-Theoretic Bulk–Edge Correspondence for Topological Insulators
C Bourne, J Kellendonk, A Rennie
Annales Henri Poincaré 18 (5), 1833-1866, 2017
522017
A non-commutative framework for topological insulators
C Bourne, AL Carey, A Rennie
Reviews in Mathematical Physics 28 (02), 1650004, 2016
502016
Non-commutative Chern numbers for generic aperiodic discrete systems
C Bourne, E Prodan
Journal of Physics A: Mathematical and Theoretical 51 (23), 235202, 2018
322018
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
302015
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
222018
Index theory and topological phases of aperiodic lattices
C Bourne, B Mesland
Annales Henri Poincaré 20 (6), 1969-2038, 2019
102019
Topological states of matter and noncommutative geometry
C Bourne
The Australian National University, 2015
92015
On ℤ 2-indices for ground states of fermionic chains
C Bourne, H Schulz-Baldes
Reviews in Mathematical Physics 32 (9), 2050028, 2020
62020
Application of semifinite index theory to weak topological phases
C Bourne, H Schulz-Baldes
2016 MATRIX Annals, 203-227, 2018
52018
The KO-valued spectral flow for skew-adjoint Fredholm operators
C Bourne, AL Carey, M Lesch, A Rennie
arXiv preprint arXiv:1907.04981, 2019
42019
The classification of symmetry protected topological phases of one-dimensional fermion systems
C Bourne, Y Ogata
Forum of Mathematics, Sigma 9, 2021
32021
Gabor frames and Wannier bases from groupoid Morita equivalences
C Bourne, B Mesland
arXiv preprint arXiv:2009.13806, 2020
32020
The Cayley transform in complex, real and graded -theory
C Bourne, J Kellendonk, A Rennie
International Journal of Mathematics 31 (9), 2050074, 2020
12020
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Articles 1–13