Dold manifold (original) (raw)

In mathematics, a Dold manifold is one of the manifolds , where is the involution that acts as −1 on the m-sphere and as complex conjugation on the complex projective space . These manifolds were constructed by Albrecht Dold, who used them to give explicit generators for René Thom's unoriented cobordism ring. Note that , the real projective space of dimension m, and .