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arxiv: hep-th/9403055 · v1 · submitted 1994-03-08 · ✦ hep-th · math.QA

Operads, homotopy algebra and iterated integrals for double loop spaces

Ezra Getzler , J. D. S. Jones This is my paper
classification ✦ hep-th math.QA
keywords hep-thoperadstheoryalgebraauthorbackgrounddoublefield
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This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended for specialists.

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Cited by 3 Pith papers

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    Infinitely many manifold operads exist that are left or right bimodule cobordant to the Fulton-MacPherson operad yet not homotopy equivalent to it, via a surgery theory relying on tree combinatorics for operadic bimodules.

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    Defines operadic spectrum via Hochschild object plus residue, shows no functorial base change for classical spectra along monoidal functors, and builds a universal residue for a canonical functorial version.

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