4 papers
Kontsevich graphs act on Nambu-Poisson brackets, VI. Open problems
Mollie S. Jagoe Brown, Arthemy V. Kiselev
Kontsevich's graphs from deformation quantisation allow encoding multi-vectors whose coefficients are differential-polynomial in components of Poisson brackets on finite-dimensiona…
Kontsevich graphs act on Nambu--Poisson brackets, IV. When the invisible becomes crucial
Mollie S. Jagoe Brown, Arthemy V. Kiselev
Kontsevich's graphs allow encoding multi-vectors whose coefficients are differential-polynomial in the coefficients of a given Poisson bracket on an affine real manifold. Encoding…
Kontsevich graphs act on Nambu--Poisson brackets, V. Implementation
Mollie S. Jagoe Brown, Arthemy V. Kiselev
In this series of papers, we established that is a coboundary in 4D (paper II arXiv:2409.12555), and we presented a series of experimental results about the (no…
Kontsevich graphs act on Nambu-Poisson brackets, III. Uniqueness aspects
Floor Schipper, Mollie S Jagoe Brown, Arthemy V Kiselev
Kontsevich constructed a map between `good' graph cocycles and infinitesimal deformations of Poisson bivectors on affine manifolds, that is, Poisson cocycles in the second Lic…