Unstable splittings in Hodge filtered Brown-Peterson cohomology
Journal article
Submitted version
View/ Open
Date
2018Metadata
Show full item recordCollections
- Institutt for matematiske fag [2341]
- Publikasjoner fra CRIStin - NTNU [36890]
Original version
10.1007/s40062-018-0215-5Abstract
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.