Algebraic String Operations

By Thomas Tradler, M. Zeinalian. 2006

52 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/efa6d5eab937f1d33612234dec61a2868b5b95ec

Citations in the corpus

• Batalin-Vilkovisky algebra structures on Hochschild Cohomology (2007, unknown): “In [29] or in [27], Tradler and Zeinalian proved Theorem 22 but only over a field of characteristic 0 [29, “rational simplicial chain” in the abstract] or [27, Beginning of 3.”
• Hochschild homology of structured algebras (2011, unknown): “(See also [58] which considers the open part as well as the closed part.”