Cyclic duality between BV algebras and BV modules

MaRDI QIDQ6614199

Niels Kowalzig

Publication date: 7 October 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hopf algebrasGerstenhaber algebrasoperadsderived functorsBV algebrascyclic dualscyclic opposite modules

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Non-symmetric operads, multicategories, generalized multicategories (18M65) Polycategories/dioperads, properads, PROPs, cyclic operads, modular operads (18M85)

Cites Work

• Cyclic homology in non-commutative geometry
• When Ext is a Batalin-Vilkovisky algebra
• An exact sequence interpretation of the Lie bracket in Hochschild cohomology
• Differential Forms on General Commutative Algebras
• Homological Algebra of Semimodules and Semicontramodules
• Centres, trace functors, and cyclic cohomology
• Brackets and products from centres in extension categories
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