Generalized Euler classes, differential forms and commutative DGAs

Abstract

In the context of commutative differential graded algebras over $\mathbb{Q}$, we show that an iteration of "odd spherical fibration" creates a "total space" commutative differential graded algebra with only odd degree cohomology. Then we show for such a commutative differential graded algebra that, for any of its "fibrations" with "fiber" of finite cohomological dimension, the induced map on cohomology is injective.

to appear in Journal of Topology and Analysis

Cited by in corpus (1)

• Fibrations and higher products in cohomology