Equivariant Poincaré–Alexander–Lefschetz duality and the Cohen–Macaulay property
Equivariant Poincaré–Alexander–Lefschetz duality and the Cohen–Macaulay property
We prove a Poincaré-Alexander-Lefschetz duality theorem for rational torus-equivariant cohomology and rational homology manifolds.We allow non-compact and nonorientable spaces.We use this to deduce certain short exact sequences in equivariant cohomology, originally due to Duflot in the differentiable case, from similar, but more general short exact sequences in equivariant homology.A crucial …