The Motivic and Etale Becker-Gottlieb transfer and splittings
Gunnar Carlsson, Roy Joshua
TL;DR
This paper develops the properties of the motivic and étale Becker-Gottlieb transfer, demonstrating their compatibility with realizations and using them to achieve various splittings in algebraic topology.
Contribution
It introduces new properties of the motivic and étale Becker-Gottlieb transfer and shows how to use these transfers to obtain splittings.
Findings
Transfer is compatible with étale and Betti realizations
Splittings can be derived using the transfer
Establishes foundational properties of the transfer
Abstract
In this paper, we establish the key properties of the motivic and \'etale Becker-Gottlieb transfer including compatibility with \'etale and Betti realization and show how to obtain various splittings using the transfer.
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Taxonomy
TopicsMathematics and Applications · Cognitive and developmental aspects of mathematical skills