Unstable splittings in Hodge filtered Brown-Peterson cohomology
Journal article
Submitted version
Permanent lenke
http://hdl.handle.net/11250/2583353Utgivelsesdato
2018Metadata
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- Institutt for matematiske fag [2350]
- Publikasjoner fra CRIStin - NTNU [37177]
Originalversjon
10.1007/s40062-018-0215-5Sammendrag
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.