Equivariant Poincaré duality (Q1199275)

Generalizing Bredon's equivariant (co-)homology indexed by non-negative integers, the authors give a geometric description of equivariant twisted (co-)homology theories indexed on representations of the fundamental groupoid of the \(G\)-space, that are well-behaved with respect to restriction and product properties. For (co-)homology theories with Burnside ring coefficients, they prove a Poincaré duality theorem for \(G\)-manifolds and a Thom isomorphism theorem for \(G\)-vector bundles over \(G\)-spaces.