The Goresky-Hingston Coproduct on Based Loop Spaces
Algebraic Topology
2025-10-29 v1
Abstract
We construct a lift of the Goresky-Hingston coproduct on the based loop space. Using this lift, we produce formulas for the interaction of the coproduct with the -action and with maps of manifolds. These results lets us compute the coproduct on the based loop space for manifolds of the form .
Cite
@article{arxiv.2510.23812,
title = {The Goresky-Hingston Coproduct on Based Loop Spaces},
author = {Jonathan Clivio},
journal= {arXiv preprint arXiv:2510.23812},
year = {2025}
}