Deformation quantization with traces
Giovanni Felder, Boris Shoikhet
Abstract
In the present paper we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a divergence-free Poisson bivector field on Rd, the Kontsevich star-product with the harmonic angle function is cyclic. We also prove a globalization of this theorem in the case of arbitrary Poisson manifolds and prove a generalization of the Connes-Flato-Sternheimer conjecture on closed star-products in the Poisson case.
Create a lesson
Related papers
The Haagerup VOA at c=8
Andrew Riesen
Haar measure for totally positive split real semisimple quantum groups of classical type
Kenny De Commer, Geoffrey Janssens, Wannes Malfait
Facets of nondegeneracy: central type factor groups, Heisenberg representations and Hadamard matrices
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev et al.
Triangular prism equations for near-group categories: algebraic solutions and a unitary conjecture
Huixuan He, Zhengwei Liu, Fan Lu et al.
Chiral Extensions of Cotangent Yangian
Keyou Zeng
Higher Fomin-Kirillov algebras are infinite-dimensional
N. Andruskiewitsch, I. Angiono, I. Heckenberger et al.