17 citations · 33 across the 6 of their papers we have counts for
6 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 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…
The Minimal Hirsch-Brown Model Via Classical Hodge Theory
Christopher Allday, Volker Puppe
In our book on cohomological methods in transformation groups the minimal Hirsch-Brown model was used to good effect. The construction there, however, was rather abstract. Here, fo…
Canonical equivariant extensions using classical Hodge theory
Christopher Allday
Lin and Sjamaar have used symplectic Hodge theory to obtain canonical equivariant extensions for Hamiltonian actions on closed symplectic manifolds that have the strong Lefschetz p…
Poincare duality in P.A. Smith theory
Ch. Allday, B. Hanke, V. Puppe
Let G=S^1, G=Z/p or more generally G be a finite p group, where p is an odd prime number. If G acts on a space whose cohomology ring satisfies Poincare duality (with appropriate co…