Noncommutative differential calculus, homotopy BV algebras and formality conjectures
arXiv:math/0002116
Abstract
We define a notion of astrongly homotopy BV algebra and apply it to deformation theory problems. Formality conjectures for Hochschild and cyclic chains are formulated. We prove some partial results supporting these conjectures.
19 pages
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Cited by in corpus (21)
- Deformation quantization of Poisson manifolds, I
- Higher derived brackets and homotopy algebras
- The Homotopy Braces Formality Morphism
- The Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra
- Higher Poisson Brackets and Differential Forms
- Deformations of Closed Strings and Topological Open Membranes
- Braided Cartan Calculi and Submanifold Algebras
- Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology
- Quasiclassical Lian-Zuckerman Homotopy Algebras, Courant Algebroids and Gauge Theory
- Compatibility with cap-products in Tsygan's formality and homological Duflo isomorphism
- Formality and Kontsevich--Duflo type theorems for Lie pairs
- Weyl n-algebras
- Quantization and the tangent groupoid
- On the Hochschild-Kostant-Rosenberg map for graded manifolds
- On a Batalin--Vilkovisky operator generating higher Koszul brackets on differential forms
- Quantum deformation of planar amplitudes
- Braided Commutative Geometry and Drinfel'd Twist Deformations
- Sigma-models and Homotopy Algebras
- On the homology of the double cobar construction of a double suspension
- The Tamarkin--Tsygan calculus of an algebra a la Stasheff
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