Planar non-formality of the little discs operad in characteristic two
classification
🧮 math.AT
keywords
operaddiscslittleplanarcacticellschaincharacteristic
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We show that the little discs operad $D_2$ is not formal over $\mathbb{F}_2$ as a planar (or non-symmetric) operad. We compute explicitly the homological obstruction using as chain model the cells of the spineless cacti operad
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