34 citations · 160 across the 16 of their papers we have counts for
16 papers
Syzygies in equivariant cohomology in positive characteristic
Christopher Allday, Matthias Franz, Volker Puppe
We develop a theory of syzygies in equivariant cohomology for tori as well as -tori and coefficients in . A noteworthy feature is a new algebraic approach to the p…
Equivariant cohomology of (Z_2)^r - manifolds and syzygies
Volker Puppe
We consider closed manifolds, which occur as intersections of products of spheres of the same dimension with certain hyperplanes. Among those are the so called (big) polygon- and c…
Equivariant Poincaré-Alexander-Lefschetz duality and the Cohen-Macaulay property
Christopher Allday, Matthias Franz, Volker Puppe
We prove a Poincare-Alexander-Lefschetz duality theorem for rational torus-equivariant cohomology and rational homology manifolds. We allow non-compact and non-orientable spaces. W…
Equivariant cohomology, syzygies and orbit structure
Christopher Allday, Matthias Franz, Volker Puppe
Let X be a "nice" space with an action of a torus T. We consider the Atiyah-Bredon sequence of equivariant cohomology modules arising from the filtration of X by orbit dimension. W…
Multiplicative Aspects of the Halperin-Carlsson Conjecture
Volker Puppe
We use the multiplicative structure of the Koszul resolution to give short and simple proofs of some known estimates for the total dimension of the cohomology of spaces which admit…
Freeness of equivariant cohomology and mutants of compactified representations
Matthias Franz, Volker Puppe
We survey generalisations of the Chang-Skjelbred Lemma for integral coefficients. Moreover, we construct examples of manifolds with actions of tori of rank > 2 whose equivariant co…