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math.AG2022
Odd rank vector bundles in eta-periodic motivic homotopy theory
Olivier Haution
We observe that, in the eta-periodic motivic stable homotopy category, odd rank vector bundles behave to some extent as if they had a nowhere vanishing section. We discuss some con…
math.AG2022
Motivic Pontryagin classes and hyperbolic orientations
Olivier Haution
We introduce the notion of hyperbolic orientation of a motivic ring spectrum, which generalises the various existing notions of orientation (by the groups GL, SLc, SL, Sp). We show…