nLab Adam Rennie

Adam Charles Rennie

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Selected writings

On spectral triples and index theory:

• Alan L. Carey, John Philips, Adam Rennie: Spectral Triples: Examples and Index Theory, in Alan Carey (ed.) Noncommutative Geometry and Physics, Renormalization, Motives, Index theory, Lectures in Mathematics and Physics, European Mathematical Society (2011) [doi:10.4171/008-1/5, ems:esi/95/1859, pdf]

On the bulk-boundary correspondence (for topological phases of matter) via Kasparov K-theory:

• Chris Bourne, Alan L. Carey, Adam Rennie: The bulk-edge correspondence for the quantum Hall effect in Kasparov theory, Lett Math Phys 105 (2015) 1253–1273 [doi:10.1007/s11005-015-0781-y, arXiv:1411.7527]

  (for quantum Hall systems)

• Chris Bourne, Johannes Kellendonk, Adam Rennie: The K-theoretic bulk-edge correspondence for topological insulators, Ann. Henri Poincaré 18 (2017) 1833–1866 [doi:10.1007/s00023-016-0541-2, arXiv:1604.02337]

category: people