We formulate general definitions of semi-classical gauge transformations for
noncommutative gauge theories in general backgrounds of string theory, and give novel …

We develop the formalism for noncommutative differential geometry and Riemmannian
geometry to take full account of the∗-algebra structure on the (possibly noncommutative) …

We show that tensoriality constraints in noncommutative Riemannian geometry in the two-
dimensional bicrossproduct model quantum spacetime algebra [x, t]= λx drastically reduce …

Spectral triples from bimodule connections and Chern connections Page 1 J. Noncommut. Geom.
11 (2017), 669–701 DOI 10.4171/JNCG/11-2-7 Journal of Noncommutative Geometry © …

We provide an off-shell formulation of four-dimensional higher spin gravity based on a
covariant Hamiltonian action on an open nine-dimensional Poisson manifold whose …

Given a set of differential forms on an odd-dimensional noncommutative manifold valued in
an internal associative algebra $\mathcal {H} $, we show that the most general cubic …

We study noncommutative bundles and Riemannian geometry at the semiclassical level of
first order in a deformation parameter λ, using a functorial approach. This leads us to field …

We show how to do gauge theory on the octonions and other nonassociative algebras such
as “quasi-R 4” models proposed in string theory. We use the theory of quasialgebras …

We show that several standard associative quantizations in mathematical physics can be
expressed as cochain module-algebra twists in the spirit of Moyal products at least to O 3 …

A bstract We construct an infinite-dimensional space of solutions to Vasiliev's equations in
four dimensions that are asymptotic to AdS spacetime and superpose massless scalar …