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arXiv · 1610.07912

Unstable splittings in Hodge filtered Brown-Peterson cohomology

Gereon Quick
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Abstract

We construct Hodge filtered function spaces associated to infinite loop spaces. For Brown-Peterson cohomology, we show that the corresponding Hodge filtered spaces satisfy an analog of Wilson's unstable splitting. As a consequence, we obtain an analog of Quillen's theorem for Hodge filtered Brown-Peterson cohomology for complex manifolds.

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Gereon Quick. 2016-10-25. Unstable splittings in Hodge filtered Brown-Peterson cohomology. https://doi.org/10.1007/s40062-018-0215-5

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