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Results tagged with operads
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user 10366
7
votes
Introducing division strategically in operads to accommodate formulas like the Baker-Campbel...
If $C$ is an operad and $A$ is a $C$-algebra then you have maps $(C(n)\otimes A^{\otimes n})_{S_n}\to A$, where the domain is the module of coinvariants for the action of $S_n$ on $C(n)\otimes A^{\oti …
- 56.9k
5
votes
Accepted
$A_{\infty}$ structure questions
I have put some notes about operads at
http://neil-strickland.staff.shef.ac.uk/research/operads.pdf
They are not finished (in particular, very many references are missing), but sections 13 and 14 are … They are written in terms of symmetric operads, so my $K(n)$ consists of $n!$ copies of the Stasheff polytope. …
- 56.9k
14
votes
Algebras over the little disks operad
Here's a nice example for André's simplified question. Consider the interval $X=[-1,1]$ with $0$ as the basepoint. Suppose there was a continuous monoid structure $m:X^2\to X$ with $0$ as the identi …
- 56.9k
3
votes
How many operad structures are there on the symmetric sequence of simplices / finitely-suppo...
There is an operad morphism $C\to Q$ sending the unique point of $C_n$ to $(1,\dotsc,1)$, but there is no operad morphism $C\to (P,\circ^f)$, so $Q\not\simeq(P,\circ^f)$ as operads. …
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