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typo edited
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edit approved May 9, 2014 at 19:42
user21574
edit approved May 9, 2014 at 19:42
user21574

Here is a super simple way to think about it: The Hochshcild cochains on A$A$ is derived Hom$Hom$ over A \otimes A^{op}$A \otimes A^{op}$ of A$A$ into A$ A$. This has two multiplications, given by composition and multiplication in the target respectively.

These commute, or intertwine, so the result has an action of the tensor product of two A$A$-infinity operads, which is (at least if you chose the right A$A$-infinity operads) an E_2$E_2$ operad.

Here is a super simple way to think about it: The Hochshcild cochains on A is derived Hom over A \otimes A^{op} of A into A. This has two multiplications, given by composition and multiplication in the target respectively.

These commute, or intertwine, so the result has an action of the tensor product of two A-infinity operads, which is (at least if you chose the right A-infinity operads) an E_2 operad.

Here is a super simple way to think about it: The Hochshcild cochains on $A$ is derived $Hom$ over $A \otimes A^{op}$ of $A$ into$ A$. This has two multiplications, given by composition and multiplication in the target respectively.

These commute, or intertwine, so the result has an action of the tensor product of two $A$-infinity operads, which is (at least if you chose the right $A$-infinity operads) an $E_2$ operad.

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Vigleik Angeltveit
Vigleik Angeltveit
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Here is a super simple way to think about it: The Hochshcild cochains on A is derived Hom over A \otimes A^{op} of A into A. This has two multiplications, given by composition and multiplication in the target respectively.

These commute, or intertwine, so the result has an action of the tensor product of two A-infinity operads, which is (at least if you chose the right A-infinity operads) an E_2 operad.