Generalized Euler classes, differential forms and commutative DGAs
Algebraic Topology
2017-06-27 v2
Abstract
In the context of commutative differential graded algebras over , 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.
Cite
@article{arxiv.1704.04308,
title = {Generalized Euler classes, differential forms and commutative DGAs},
author = {Alexander Gorokhovsky and Dennis Sullivan and Zhizhang Xie},
journal= {arXiv preprint arXiv:1704.04308},
year = {2017}
}
Comments
to appear in Journal of Topology and Analysis