18 citations · 24 across the 4 of their papers we have counts for
7 papers · 1 filter
The Serre spectral sequence of a noncommutative fibration for de Rham cohomology
EJ Beggs, Tomasz Brzezinski
For differential calculi on noncommutative algebras, we construct a twisted de Rham cohomology using flat connections on modules. This has properties similar, in some respects, to…
Braiding and exponentiating noncommutative vector fields
E. J. Beggs
The purpose of this paper is to put into a noncommutative context basic notions related to vector fields from classical differential geometry. The manner of exposition is an attemp…
Semi-classical differential structures
E. J. Beggs, S. Majid
We semiclassicalise the standard notion of differential calculus in noncommutative geometry on algebras and quantum groups. We show in the symplectic case that the infinitesimal da…
Making nontrivially associated modular categories from finite groups
M. M. Al-Shomrani, E. J. Beggs
We show that the non-trivially associated tensor category constructed from left coset representatives of a subgroup of a finite group is a modular category. Also we give a definiti…
Two-forms and Noncommutative Hamiltonian dynamics
Edwin J. Beggs
In this paper we extend the standard differential geometric theory of Hamiltonian dynamics to noncommutative spaces, beginning with symplectic forms. Derivations on the algebra are…
A generalised Hopf algebra for solitons
Falleh R. Al-Solamy, Edwin J. Beggs
This paper considers a generalisation of the idea of a Hopf algebra in which a commutative ring replaces the field in the unit and counit. It is motivated by an example from the in…