Generalized Euler classes, differential forms and commutative DGAs

Autor:	Gorokhovsky, Alexander, Sullivan, Dennis, Xie, Zhizhang
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	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. Comment: to appear in Journal of Topology and Analysis
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.04308 Zobrazit plný text záznamu View this record from Arxiv