Cohomological correspondence categories

Druzhinin, Andrei; Kolderup, Håkon

doi:10.2140/agt.2020.20.1487

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Cohomological correspondence categories

Andrei Druzhinin and Håkon Kolderup

Algebraic & Geometric Topology 20 (2020) 1487–1541

DOI: 10.2140/agt.2020.20.1487

Abstract

We prove that homotopy invariance and cancellation properties are satisfied by any category of correspondences that is defined, via Calmès and Fasel’s construction, by an underlying cohomology theory. In particular, this includes any category of correspondences arising from the cohomology theory defined by an $MSL$ –algebra.

Keywords

correspondences, motives, motivic homotopy theory

Mathematical Subject Classification 2010

Primary: 14F42, 19E15

Secondary: 14F05, 14F35

References

Publication

Received: 25 October 2018

Revised: 8 August 2019

Accepted: 28 August 2019

Published: 27 May 2020

Authors

Andrei Druzhinin
Chebyshev Laboratory St Petersburg State University Saint Petersburg Russia

Håkon Kolderup
University of Oslo Oslo Norway

Volume 20, issue 3 (2020)