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If $A\in \mbox{Rings}\subset E_\infty\mbox{-rings}$, what is the equivalence between objects...

This question already has been answered in the comments. (Tilson) We regard a commutative ring as an $E_\infty$ spectrum via the EM functor $H$. This is definitely what Jacob is doing. One could als …
Justin Noel's user avatar
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4 votes

Somewhat general question that includes: "Do quasi-isomorphic cdgas have quasi-isomorphic sp...

If you have two cdgas which are cofibrant (so built out of free cdgas and their cones via an iterated sequence of pushouts) and quasi-isomorphic then their homological invariants agree (one of the pro …
Justin Noel's user avatar
  • 1,738