On the f-invariant of products

2009/09/22 by Hanno von Bodecker, von Bodecker, Hanno · 1 citation
Mathematics · #55Q45 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0909.3968

openalex publication_date 2009/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The f-invariant and index theory

Cited by

• Toda brackets and congruences of modular forms

Related

• On the geometry of the f-invariant
• Beta-elements and divided congruences
• Tensor products of f-algebras
• The product formula for Gromov-Witten invariants
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