A systematic construction via Atiyah-Hirzebruch spectral sequence yields topological invariants that completely characterize K-groups for TRS spinful superconductors in 159 space groups.
Kitaev, Periodic table for topological insulators and super- conductors, AIP Conference Proceedings 1134, 22 (2009)
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Derives two types of gapless edge modes (fractonic and non-fractonic) plus a current algebra for a 2D fractonic system with constrained multipole mobility, analogous to fractional quantum Hall phases.
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Towards complete characterization of topological insulators and superconductors: A systematic construction of topological invariants based on Atiyah-Hirzebruch spectral sequence
A systematic construction via Atiyah-Hirzebruch spectral sequence yields topological invariants that completely characterize K-groups for TRS spinful superconductors in 159 space groups.
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Fractons on the edge
Derives two types of gapless edge modes (fractonic and non-fractonic) plus a current algebra for a 2D fractonic system with constrained multipole mobility, analogous to fractional quantum Hall phases.