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Cohomological
correspondence categories
Andrei Druzhinin and Håkon Kolderup |
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Algebraic & Geometric Topology 20 (2020) 1487–1541
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Abstract |
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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 –algebra. |
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Keywords
correspondences, motives, motivic homotopy theory
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Mathematical Subject Classification 2010
Primary: 14F42, 19E15
Secondary: 14F05, 14F35
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References |
Publication
Received: 25 October 2018
Revised: 8 August 2019
Accepted: 28 August 2019
Published: 27 May 2020
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Authors |
| Andrei Druzhinin | |
| Chebyshev Laboratory St Petersburg State University Saint Petersburg Russia |
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| Håkon Kolderup | |
| University of Oslo Oslo Norway |
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