Algebras of Higher Operads as Enriched Categories

@article{Batanin2011AlgebrasOH,
  title={Algebras of Higher Operads as Enriched Categories},
  author={Michael Batanin and Mark Weber},
  journal={Applied Categorical Structures},
  year={2011},
  volume={19},
  pages={93-135}
}
One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product. In this paper we begin to adapt the machinery of globular operads (Batanin, Adv Math 136:39–103, 1998) to this task. We present a general construction of a tensor product on the category of n-globular sets from any normalised (n + 1)-operad A, in such a way that the algebras for A may be recaptured as enriched categories for the induced tensor product… 
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