## Path products in projective space

Nancy Hingston

The College of New Jersey

February 6, 2015

We compute the mod 2 homology of the space of paths in $\mathbb CP^n$ with endpoints in $\mathbb RP^n$, and its algebra structure with respect to the Pontryagin-Chas-Sullivan product. Our method combines Morse theory with geometry. Joint work with Alexandru Oancea.