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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeJun 2nd 2020
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexHas anyone defined a notion of $A_\infty$ Frobenius algebra? That is, an $A_\infty$-algebra and $A_\infty$-coalgebra together with Frobenius homotopies satisfying coherences in all higher dimensions? Presumably it would reduce in the 1-truncated case to a [[Frobenius pseudomonoid]].

   Has anyone defined a notion of $A_\infty$ Frobenius algebra? That is, an $A_\infty$-algebra and $A_\infty$-coalgebra together with Frobenius homotopies satisfying coherences in all higher dimensions? Presumably it would reduce in the 1-truncated case to a Frobenius pseudomonoid.