Massey products for homotopy inner products
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916947006849024 |
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| author | Poirier, Kate Tradler, Thomas Wilson, Scott O. |
| author_facet | Poirier, Kate Tradler, Thomas Wilson, Scott O. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15494 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Massey products for homotopy inner products Poirier, Kate Tradler, Thomas Wilson, Scott O. Algebraic Topology 55S30, 46C99 (primary), 08A65, 57K99 (secondary) 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. |
| title | Massey products for homotopy inner products |
| topic | Algebraic Topology 55S30, 46C99 (primary), 08A65, 57K99 (secondary) |
| url | https://arxiv.org/abs/2507.15494 |