The Motivic and Etale Becker-Gottlieb transfer and splittings

Abstract

In this paper, we establish the key properties of the motivic and étale Becker-Gottlieb transfer including compatibility with étale and Betti realization and show how to obtain various splittings using the transfer.

Some of the material here appeared in an earlier version of the paper entitled: The motivic and étale Becker Gottlieb transfer (arXiv:2007.02247). We have now split the discussion into two papers, with only the construction of the transfer appearing in the updated version of the above mentioned paper. The current paper discusses the remaining aspects of the transfer in more detail