Syzygies in equivariant cohomology in positive characteristic

Abstract

We develop a theory of syzygies in equivariant cohomology for tori as well as $p$-tori and coefficients in ${\mathbb{F}}_p$. A noteworthy feature is a new algebraic approach to the partial exactness of the Atiyah-Bredon sequence, which also covers all instances considered so far.

24 pages; proof of Proposition 4.1 rephrased, Remark 8.6 expanded, minor changes

References in corpus (1)

• The syzygy order of big polygon spaces

Cited by in corpus (1)

• The Chang-Skjelbred lemma and generalizations