Gerstenhaber structure and Deligne’s conjecture for Loday algebras |
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Authors: | Donald Yau |
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Institution: | Department of Mathematics, The Ohio State University Newark, 1179 University Drive, Newark, OH 43055, USA |
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Abstract: | A method for establishing a Gerstenhaber algebra structure on the cohomology of Loday-type algebras is presented. This method is then applied to dendriform dialgebras and three types of trialgebras introduced by Loday and Ronco. Along the way, our results are combined with a result of McClure-Smith to prove an analogue of Deligne’s conjecture for Loday algebras. |
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Keywords: | 16E40 |
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