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Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
Authors:Tekin Karadağ  Dustin McPhate  Pablo S Ocal  Tolulope Oke  Sarah Witherspoon
Institution:1. Department of Mathematics, United States Naval Academy, Annapolis, MD 21402, USA;2. Department of Mathematics, Howard University, Washington, DC 20059, USA;3. Department of Mathematics, Texas A&M University, College Station, TX 77843, USA;1. Universiteit Antwerpen, Departement Wiskunde, Middelheimlaan 1, 2020 Antwerpen, Belgium;2. IISER Pune, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India;1. Dipartimento di Scienza ed Alta Tecnologia, Università degli Studi dell''Insubria, Via Valleggio 11, 22100 Como, Italy;2. Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Strasse 4, D-24098 Kiel, Germany;3. Departamento de Matemática Aplicada, Universidad Politécnica de Madrid, C/José Antonio Novais 10, 28040 Madrid, Spain;4. Institut für Differentialgeometrie, Gottfried Wilhelm Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
Abstract:We present techniques for computing Gerstenhaber brackets on Hochschild cohomology of general twisted tensor product algebras. These techniques involve twisted tensor product resolutions and are based on recent results on Gerstenhaber brackets expressed on arbitrary bimodule resolutions.
Keywords:Hochschild cohomology  Gerstenhaber brackets  Twisted tensor products  Jordan plane
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