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

Nancy Hingston (1) , Alexandru Oancea (2)

1 TCNJ - Department of Mathematics and Statistics
2 IMJ - Institut de Mathématiques de Jussieu

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.

Domaines: Topologie géométrique [math.GT]; Géométrie symplectique [math.SG]

Nancy Hingston, Alexandru Oancea. The space of paths in complex projective space with real boundary conditions. 2013. ⟨hal-01010947⟩