Algebraic String Operations

Abstract

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.

32 pages, 35 figures

References in corpus (2)

• Homotopy Inner Products for Cyclic Operads
• On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra