Cohomological correspondence categories

Andrei Druzhinin; Håkon Kolderup

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.

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Andrei Druzhinin. Håkon Kolderup. "Cohomological correspondence categories." Algebr. Geom. Topol. 20 (3) 1487 - 1541, 2020. https://doi.org/10.2140/agt.2020.20.1487

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Received: 25 October 2018; Revised: 8 August 2019; Accepted: 28 August 2019; Published: 2020

First available in Project Euclid: 5 June 2020

zbMATH: 07207579

MathSciNet: MR4105557

Digital Object Identifier: 10.2140/agt.2020.20.1487

Subjects:

Primary: 14F42 , 19E15

Secondary: 14F05 , 14F35

Keywords: correspondences , motives , motivic homotopy theory

Abstract

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