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now the preprint referred to at tangent cohesive (infinity,1)-topos is out:
Can it mostly be seen as working out general constructions in the stable situation?
Specifically, the article explores the implications of the fact that in the stable context, the canonical figure-8 diagram here that every cohesive homotopy type sits in has both squares being homotopy pullbacks and hence represents every cohesive stable homotopy type $X$ as a differential cohomology spectrum refining the spectrum $\Pi(X)$ by the differential form data $\flat_{dR}\Sigma X$.
I added Mike’s Cafe post on fracture theorems as a reference to fracture theorem. Seems an interesting topic.
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