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For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.

3 votes
Accepted

Formality of classifying spaces (for not necessarily connected groups)

The answer is yes $D^b_G(X)$ is equivariantly formal. The result has been proved in a diploma thesis written under the supervision of Wolfgang Soergel. (Unfortunately it is not available electronicall …
Oliver Straser's user avatar
4 votes
0 answers
246 views

Formal DG-algebras

Sorry for this question but I really have difficulties with model categories. Usually a $dg$-algebra $A$ is called formal, if there exists a $dg$-algebra $B$ and quasi-isomorphisms $$A\leftarrow B\to …
Oliver Straser's user avatar
5 votes
1 answer
401 views

Equivariant Formality

Let $G$ be a finite group and $\mathcal{A}$ be a $dg$-algebra. Assume $G$ acts on $\mathcal{A}$, i.e. there exists a homomorphism $G\to {\rm Aut}_{dg}(\mathcal{A})$. Assume further there exists a $dg …
Oliver Straser's user avatar