Which homotopy algebras come from transfer?

Martin Markl; Christopher L. Rogers

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arXiv · 2006.00072

Which homotopy algebras come from transfer?

Martin Markl·Christopher L. Rogers

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Abstract

We characterize $A_\infty$-structures that are transfers over a chain homotopy equivalence or a quasi-isomorphism, answering a question posed by D. Sullivan. Along the way, we present an obstruction theory for weak $A_\infty$-morphisms over an arbitrary commutative ring. We then generalize our results to ${\mathcal P}_\infty$-structures over a field of characteristic zero, for any quadratic Koszul operad ${\mathcal P}$.

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Martin Markl, Christopher L. Rogers. 2020-05-29. Which homotopy algebras come from transfer?. https://arxiv.org/abs/2006.00072

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