Cohomology of Generalized Dold Manifolds [HBNI Th254]

Abstract

A Dold manifold is defined as the quotient space Sm × CP n /∼, where (s, L) ∼ (−s, L̄). These manifolds were first introduced by Albrecht Dold in 1956 to construct generators in odd dimensions for Thom’s unoriented cobordism ring (see [Dol56]). The above definition was generalized by Nath and Sankaran to a broader class of manifolds in order to study certain manifold-properties, which they termed gen- eralized Dold manifolds (see [NS19]). We generalize this even further and call it generalized Dold spaces (GDS) in [MS22] to study cohomology of these spaces.