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arXiv · 2510.23812

The Goresky-Hingston Coproduct on Based Loop Spaces

Jonathan Clivio
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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 $\pi_1$-action and with maps of manifolds. These results lets us compute the coproduct on the based loop space for manifolds of the form $S^n/G$.

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Jonathan Clivio. 2025-10-27. The Goresky-Hingston Coproduct on Based Loop Spaces. https://arxiv.org/abs/2510.23812

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