The space of paths in complex projective space with real boundary conditions

Abstract

We compute the integral homology of the space of paths in $\mathbb{C}{P}^n$ with endpoints in $\mathbb{R}{P}^n$, $n\ge 1$ and its algebra structure with respect to the Pontryagin-Chas-Sullivan product with $\mathbb{Z}/2$-coefficients.

33 pages, 6 figures

Cited by in corpus (2)

• Morse theory, closed geodesics, and the homology of free loop spaces
• Duality for finite Gelfand pairs