Volume 20, issue 3 (2020)

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Cohomological correspondence categories

Andrei Druzhinin and Håkon Kolderup

Algebraic & Geometric Topology 20 (2020) 1487–1541

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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correspondences, motives, motivic homotopy theory
Mathematical Subject Classification 2010
Primary: 14F42, 19E15
Secondary: 14F05, 14F35
Received: 25 October 2018
Revised: 8 August 2019
Accepted: 28 August 2019
Published: 27 May 2020
Andrei Druzhinin
Chebyshev Laboratory
St Petersburg State University
Saint Petersburg
Håkon Kolderup
University of Oslo