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Algebraic string operations
Authors:Thomas Tradler and Mahmoud Zeinalian
Affiliation:(1) Department of Mathematics, College of Technology of the City University of New York, 300 Jay Street, Brooklyn, NY 11201, USA;(2) Department of Mathematics, C.W. Post Campus of Long Island University, 720 Northern Boulevard, Brookville, NY 11548, USA
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.
Keywords:String topology  Cyclic deligne conjecture
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