Large homomorphisms on the homotopy lie coalgebra
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913091075178496 |
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| author | Levins, Andrew J. Soto Watson, Ryan |
| author_facet | Levins, Andrew J. Soto Watson, Ryan |
| contents | We introduce and study a notion of large homomorphisms on the homotopy lie coalgebra; these homomorphisms are a variant of the large homomorphisms of Levin. As a consequence of our work, we establish new cases of a homotopy lie coalgebra analog of a conjecture of Quillen as proposed by Briggs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03813 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Large homomorphisms on the homotopy lie coalgebra Levins, Andrew J. Soto Watson, Ryan Commutative Algebra Algebraic Topology Primary: 13D03, 13D05 Secondary: 16E45 We introduce and study a notion of large homomorphisms on the homotopy lie coalgebra; these homomorphisms are a variant of the large homomorphisms of Levin. As a consequence of our work, we establish new cases of a homotopy lie coalgebra analog of a conjecture of Quillen as proposed by Briggs. |
| title | Large homomorphisms on the homotopy lie coalgebra |
| topic | Commutative Algebra Algebraic Topology Primary: 13D03, 13D05 Secondary: 16E45 |
| url | https://arxiv.org/abs/2605.03813 |