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Operads, Operadic Categories and the Blob Complex

  • Michael Batanin,
  • Martin Markl

摘要

We will show that the Morrison–Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local relations. As a by-product we develop the theory of unary operadic categories and study some novel and interesting phenomena arising in this context.