Cohomological correspondence categories

Druzhinin, Andrei¹ ; Kolderup, Håkon²

¹Chebyshev Laboratory, St Petersburg State University, Saint Petersburg, Russia
²University of Oslo, Oslo, Norway

Algebraic and Geometric Topology, Tome 20 (2020) no. 3, pp. 1487-1541

Résumé

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.

Détail

DOI : 10.2140/agt.2020.20.1487

Classification : 14F42, 19E15, 14F05, 14F35
Keywords: correspondences, motives, motivic homotopy theory

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