nLab Matthew Hastings

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Selected writings

Providing rigorous theoretical foundations for the quantum Hall effect:

• Matthew Hastings, Spyridon Michalakis, Quantization of Hall Conductance For Interacting Electrons Without Averaging Assumptions, Commun. Math. Phys., 334:433–471, (2015) (arXiv:0911.4706, doi:10.1007/s00220-014-2167-x)

On wreath products of a cyclic with a symmetric group as analogs of (anyon) braid groups in dimension $\gt 2$:

• Michael Freedman, Matthew B. Hastings, Chetan Nayak, Xiao-Liang Qi, Kevin Walker, Zhenghan Wang: Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions, Phys. Rev. B 83 115132 (2011) [doi:10.1103/PhysRevB.83.115132, arXiv:1005.0583]

On adiabatic transformations of certain 2d topological insulators:

• David Aasen, Zhenghan Wang, Matthew B. Hastings, Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes [arXiv:2203.11137]

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