Abstract:

Abstract: A second subspace of a product is the generalized moment-angle complex with notable cases given by subspaces of products of infinite dimensional complex projective space 'indexed by a finite simplicial complex'. These spaces appearing in work of Goresky-MacPherson, Buchstaber-Panov-Ray, Denham-Suciu, Franz as well as many others encode information ranging from the structure of toric varieties in one guise as well as 'motions of certain types of robotic legs' in another guise.

Further elementary features of these spaces are developed within the context of classical homotopy theory in joint work with A. Bahri, M. Bendersky, and S. Gitler. These elementary properties provide easily accessible explantions for certain properties of moment-angle complexes as well as further, delicate features