A new homotopy model for the Bott spiral of fermionic SPTs is built via twisted ABS orientation and IFT spiral maps, showing IFTs need more symmetry data than K-theory and relying on an extraspecial group isomorphism of order 32.
Tenfold topology of crystals: Unified classification of crystalline topological insulators and superconductors.Phys
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Unraveling the Bott spiral
A new homotopy model for the Bott spiral of fermionic SPTs is built via twisted ABS orientation and IFT spiral maps, showing IFTs need more symmetry data than K-theory and relying on an extraspecial group isomorphism of order 32.