48 citations · 428 across the 48 of their papers we have counts for
50 papers
Derived Associative Algebras and Cyclic Cohomology of Q-manifolds
Andrew James Bruce
Loday's derived product is revisited in the setting of Q-manifolds, i.e., supermanifolds equipped with an odd vector field that `squares to zero'. We interpret the Grassmann odd pr…
Principal bundles in the category of -manifolds
Andrew James Bruce, Janusz Grabowski
We introduce and examine the notion of principal -bundles, i.e., principal bundles in the category of -manifolds. The latter are higher graded exten…
The Ternary Structure of Lie Algebroid Connections
Andrew James Bruce
We examine the heap of linear connections on anchored vector bundles and Lie algebroids. Naturally, this covers the example of affine connections on a manifold. We present some new…
On Lie semiheaps and ternary principal bundles
Andrew James Bruce
We introduce the notion of a Lie semiheap as a smooth manifold equipped with a para-associative ternary product. For a particular class of Lie semiheaps we establish the existence…
On the bundle of null cones
Andrew James Bruce
We examine the bundle structure of the field of nowhere vanishing null vector fields on a (time-oriented) Lorentzian manifold. Sections of what we refer to as the null tangent, are…
Semiheaps and Ternary Algebras in Quantum Mechanics Revisited
Andrew James Bruce
We re-examine the appearance of semiheaps and (para-associative) ternary algebras in quantum mechanics. In particular, we review the construction of a semiheap on a Hilbert space a…