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.
On the cohomology groups of the classifying space for the stable spinor groups.Bol
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Smith homomorphisms are defined equivalently via Thom spectrum maps, yielding a fiber sequence whose Anderson dual produces long exact sequences of invertible field theories.
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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.
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The Smith Fiber Sequence and Invertible Field Theories
Smith homomorphisms are defined equivalently via Thom spectrum maps, yielding a fiber sequence whose Anderson dual produces long exact sequences of invertible field theories.