NONCOMMUTATIVE DIFFERENTIAL CALCULUS, HOMOTOPY BV ALGEBRAS AND FORMALITY CONJECTURES

By Dmitri Tamarkin, B. Tsygan. 2000

134 citations recorded by the source corpus.

We define a notion of a strong homotopy BV algebra and apply it to deformation theory problems. Formality conjectures for Hochschild cochains are formulated. We prove several results supporting these conjectures.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/77955afb4d502827f8495222751a2ec081e524b8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jae-Suk Park
2. T. Voronov
3. Y. Kosmann-Schwarzbach
4. R. Mehta
5. Dmitry Roytenberg
6. Apurba Kumar Das
7. M. Rotkiewicz
8. J. Grabowski

In Mathematical Physics

1. Jae-Suk Park
2. T. Voronov
3. R. Mehta
4. Y. Kosmann-Schwarzbach
5. Dmitry Roytenberg
6. M. Crainic
7. M. Rotkiewicz
8. J. Grabowski

In Statistical and Nonlinear Physics

1. Jae-Suk Park
2. T. Voronov

Citations in the corpus

• Topological Open P-Branes (2000, background): “It follows that the odd symplectic form ω carries U = −1, while the BV bracket carries U = 1.”
• Higher derived brackets and homotopy algebras (2003, methodology): “The algebraic structure consisting of all higher derived brackets of an odd differential operator of order n and the usual multiplication, should be considered an example of a homotopy Batalin–Vilkovisky algebra (see [34, 23, 33] and a discussion in Section 6).”