## New answers tagged triangulated-categories

3
votes

### Is there a cotangent bundle of a stable $\infty$-category?

In the years since this question was asked, some of the theory the OP wanted was developed. First, in Lurie's Higher Algebra, Definition 7.3.2.14 defines the absolute cotangent complex functor $L: C\...

6
votes

Accepted

### Exact sequences in Positselski's coderived category induce distinguished triangles

Yes, of course. The coderived and contraderived categories (or more specifically, the absolute derived categories) are defined precisely in such a way that short exact sequences of CDG-modules induce ...

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