Generalized Euler classes, differential forms and commutative DGAs Academic Article uri icon

abstract

  • In the context of commutative differential graded algebras over [Formula: see text], 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.

published proceedings

  • Journal of Topology and Analysis

altmetric score

  • 0.25

author list (cited authors)

  • Gorokhovsky, A., Sullivan, D., & Xie, Z.

citation count

  • 1

complete list of authors

  • Gorokhovsky, Alexander||Sullivan, Dennis||Xie, Zhizhang

publication date

  • March 2019