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- Title
ON THE DOUBLE TRANSFER AND THE f-INVARIANT.
- Authors
POWELL, GEOFFREY
- Abstract
The purpose of this paper is to investigate the algebraic double S1-transfer, in particular the classes in the two-line of the Adams–Novikov spectral sequence which are the image of comodule primitives of the MU-homology of ℂP∞ × ℂP∞ via the algebraic double transfer. These classes are analysed by two related approaches: the first, p-locally for p ≥ 3, by using the morphism induced in MU-homology by the chromatic factorisation of the double transfer map together with the f′-invariant of Behrens (for p ≥ 5) (M. Behrens, Congruences between modular forms given by the divided β-family in homotopy theory, Geom. Topol.13(1) (2009), 319–357). The second approach (after inverting 6) uses the algebraic double transfer and the f-invariant of Laures (G. Laures, The topological q-expansion principle, Topology38(2) (1999), 387–425).
- Subjects
TRANSFER (Algebraic topology); INVARIANTS (Mathematics); ADAMS spectral sequences; MORPHISMS (Mathematics); HOMOLOGY theory; MATHEMATICAL expansion; TOPOLOGY
- Publication
Glasgow Mathematical Journal, 2012, Vol 54, Issue 3, p547
- ISSN
0017-0895
- Publication type
Article
- DOI
10.1017/S0017089512000158