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arXiv · 1703.02877

Quaternionic Projective Bundle Theorem and Gysin Triangle in MW-Motivic Cohomology

Nanjun Yang
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Abstract

In this paper, we show that the motive of the quaternionic Grassmannian $HP^n$ (as defined by I. Panin and C. Walter) splits in the category of effective MW-motives (as defined by B. Calm\`es, F. D\'eglise and J. Fasel). Moreover, we extend this result to an arbitrary symplectic bundle, obtaining the so-called quaternionic projective bundle theorem. Finally, we give the Gysin triangle in MW-motivic cohomology.

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Nanjun Yang. 2017-03-08. Quaternionic Projective Bundle Theorem and Gysin Triangle in MW-Motivic Cohomology. https://doi.org/10.1007/s00229-019-01171-4

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