Homology, Homotopy and Applications
Volume 18 (2016)
On the $f$-invariant of products
Pages: 169 – 176
The $f$-invariant is a higher version of the $e$-invariant that takes values in the divided congruences between modular forms; in the situation of a cartesian product of two framed manifolds, the $f$-invariant can actually be computed from the $e$-invariants of the factors. The purpose of this note is to determine the $f$-invariant of all such products.
stable homotopy group, $f$-invariant
2010 Mathematics Subject Classification