beta-family congruences and the f-invariant

2008/09/06 by Mark Behrens, Behrens, Mark, Gerd Laures +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.0809.1125

openalex publication_date 2008/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In previous work, the authors have each introduced methods for studying the 2-line of the p-local Adams-Novikov spectral sequence in terms of the arithmetic of modular forms. We give the precise relationship between the congruences of modular forms introduced by the first author with the Q-spectrum and the f-invariant of the second author. This relationship enables us to refine the target group of the f-invariant in a way which makes it more manageable for computations.

Citations

• The f-invariant and index theory

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