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Homotopy theory, homological algebra, algebraic treatments of manifolds.

8 votes
0 answers
244 views

Clarification of Tillmann's construction of the higher genus surface operad

Sorry if this question is inappropriate for overflow. I tried asking on stackexchange yesterday but didn't get any responses, so I thought that this site might be better. Anyway, my question is as fol …
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16 votes
2 answers
1k views

Are mapping class groups of orientable surfaces good in the sense of Serre?

A group G is called ‘good’ if the canonical map $G\to\hat{G}$ to the profinite completion induces isomorphisms $H^i(\hat{G},M)\to H^i(G,M)$ for any finite $G$-module $M$. I’ve had multiple academics i …
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  • 383