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Beginner's guide to $A_{\infty}$-algebras

I have some general questions about $A_{\infty}$-algebras. Altough I understand bare definition from nLab I have no association how to think intuitively about them. Which picture one should have in ...
user267839's user avatar
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8 votes
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160 views

On the invariance of the Kaledin class

In Formality of DG algebras (after Kaledin), Lunts introduces an $A_\infty$-Hochschild cohomology class, called the Kaledin class, controlling formality of an $A_\infty$-algebra up to a certain order. ...
domenico fiorenza's user avatar
2 votes
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Does the totality of $E_n$-operads in a given category has any interesting structure?

Suppose we are given a fixed ambient symmetric monoidal model category (I'm mostly interested in chain complexes over char zero fields). Then we have the notion of an $E_n$-operad in that category. ...
Mark.Neuhaus's user avatar
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1 vote
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Morphism from the Koszul associative cooperad into the Koszul Lie cooperad?

Thinking about whether or not there is a natural way to transform $L_\infty$-algebras into $A_\infty$-algebras, I wonder if there is a morphism of cooperads $\mathcal{A}ss^i\to\mathcal{L}ie^i$ from ...
Mark.Neuhaus's user avatar
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