On the double transfer and the f-invariant

Details On the double transfer and the f-invariant On the double transfer and the f-invariant

2010-05-06

arxiv.org/abs/1005.0918v2

Mathematics

Algebraic Topology

25 pages (revised)

Scientific paper

The purpose of this paper is to investigate an algebraic version of the double complex 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 the product of two copies of infinite complex projective space via the algebraic double transfer. These classes are analysed by two related approaches; the first, p-locally for an odd prime, by using the morphism induced in MU-homology by the chromatic factorization of the double transfer map together with the f'-invariant of Behrens (for p>=5). The second approach uses the algebraic double transfer and the f-invariant of Laures.

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