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arXiv · 2507.15494

Massey products for homotopy inner products

Kate Poirier·Thomas Tradler·Scott O. Wilson
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Abstract

This paper defines Massey-type products for a homotopy inner product on an $A_\infty$ algebra, called Massey inner products. We include an explicit description of ordinary Massey products for $A_\infty$ algebras, and for $A_\infty$ modules, and show that Massey product sets can have interesting internal structure. We give non-trivial applications from lens spaces, links, and low dimensional manifolds, showing Massey inner products contain information beyond ordinary Massey products.

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Kate Poirier, Thomas Tradler, Scott O. Wilson. 2025-07-21. Massey products for homotopy inner products. https://arxiv.org/abs/2507.15494

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