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.
Topological Elliptic Genera I -- The mathematical foundation
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We construct {\it Topological Elliptic Genera}, homotopy-theoretic refinements of the elliptic genera for $SU$-manifolds and variants including the Witten-Landweber-Ochanine genus. The codomains are genuinely $G$-equivariant Topological Modular Forms developed by Gepner-Meier, twisted by $G$-representations. As the first installment of a series of articles on Topological Elliptic Genera, this issue lays the mathematical foundation and discusses immediate applications. Most notably, we deduce an interesting divisibility result for the Euler numbers of $Sp$-manifolds.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
The U(1)-topological elliptic genus lifts to connective topological Jacobi forms and is surjective in homotopy.
citing papers explorer
-
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.
-
The U(1)-topological elliptic genus is surjective
The U(1)-topological elliptic genus lifts to connective topological Jacobi forms and is surjective in homotopy.