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arXiv · 1905.10877

A closer look at Kadeishvili's theorem

Dan Petersen
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Abstract

We give a proof of the Homotopy Transfer Theorem following Kadeishvili's original strategy. Although Kadeishvili originally restricted himself to transferring a dg algebra structure to an $A_\infty$-structure on homology, we will see that a small modification of his argument proves the general case of transferring any kind of $\infty$-algebra structure along a quasi-isomorphism, under weaker hypotheses than existing proofs of this result.

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Dan Petersen. 2019-05-26. A closer look at Kadeishvili's theorem. https://arxiv.org/abs/1905.10877

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