Thesis

### Ribbon braids and related operads

Abstract:

This thesis consists of two parts, both being concerned with operads related to the ribbon braid groups. In the first part, we define a notion of semidirect product for operads and use it to study the framed $n$-discs operad (the semidirect product $f\mathcal{D}_n=\mathcal{D}_n\rtimes SO(n)$ of the little $n$-discs operad with the special orthogonal group). This enables us to deduce properties of $f\mathcal{D}_n$ from the corresponding properties for $\mathcal{D}_n$. We prove an equivarian...

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### Authors

Publication date:
2001
URN:
uuid:4ae9f906-be3e-4cba-bf3c-a626337d1cf9
Local pid:
oai:eprints.maths.ox.ac.uk:43