Unstable splittings in Hodge filtered Brown-Peterson cohomology

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.

arXiv comment16 pages

References in corpus (1)

• Hodge filtered complex bordism

Cited by in corpus (1)

• Differential cohomology (encyclopedia article)