On the f-invariant of products

Abstract

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.

arXiv comment11 pages. Corrected the map occurring in the paragraph before eq. (2)

References in corpus (2)

• On the geometry of the f-invariant
• The f-invariant and index theory

Cited by in corpus (1)

• Toda brackets and congruences of modular forms