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

abstract

  • © 2019 World Scientific Publishing Company. In the context of commutative differential graded algebras over as, 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.

author list (cited authors)

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

citation count

  • 1

publication date

  • February 2019