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arxiv: math/0605770 · v1 · submitted 2006-05-30 · 🧮 math.QA · math.AT

Algebraic String Operations

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keywords algebraicappropriatechordclosedcobarcomplexcomplexescoupled
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We first discuss how open/closed chord diagrams, both with and without marked points, act on appropriate Hochschild complexes possibly coupled with the two-sided cobar complex. Then, in the main part of the paper, we introduce the notion of a V_k-algebra and obtain suitable homotopy versions.

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