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For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.

5 votes
0 answers
104 views

Is there a n-category structure on algebras for $e_n$-like operads?

I'm fishing in troubled waters here and therefore the question is vague and meant to be as general as possible. In particular "$e_n$-like operad" can be an algebraic or topological $e_n$ operad, as fo …
Mark.Neuhaus's user avatar
  • 2,064
3 votes
1 answer
304 views

Why is an extended T(Q)FT called fully local?

Hopefully this question does not double another. If so, don't bother to close this. An extended topological quantum field theory is sometimes called, 'fully local". Why is that? I can imagine that su …
Mark.Neuhaus's user avatar
  • 2,064
10 votes
2 answers
991 views

What are algebras for the little n-balls/n-cubes/n-something operads exactly?

As a non expert in the theory of topological operads, I find it pretty hard, to understand what algebras for little balls/cubes/something operads are. For all the other famous operads I know (like Li …
Mark.Neuhaus's user avatar
  • 2,064
9 votes
3 answers
1k views

What is a Homotopy between $L_\infty$-algebra morphisms II

I would like to continue on question I asking, what is a homotopy between Lie infinity algebras, since I'm not satisfied in two directions: 1.) The naive approach to define a homotopy would be ('nai …
Mark.Neuhaus's user avatar
  • 2,064