On the Independence of Exit Time and Exit Position from Small Geodesic Balls for Brownian Motions on Riemannian Manifolds.
On the uniqueness of the -dimensional supertorus associated to a nontrivial representation of its underlying 2-torus, and having nontrivial odd brackets.
Produced representations of Lie algebras and superfields
Quantum homogeneous superspaces and quantum duality principle
We define the concept of quantum section of a line bundle of a homogeneous superspace and we employ it to define the concept of quantum homogeneous projective superspace. We also suggest a generalization of the QDP to the quantum supersetting.
Second-order conformally equivariant quantization in dimension .
Super Wilson Loops and Holonomy on Supermanifolds
The classical Wilson loop is the gauge-invariant trace of the parallel transport around a closed path with respect to a connection on a vector bundle over a smooth manifold. We build a precise mathematical model of the super Wilson loop, an extension introduced by Mason-Skinner and Caron-Huot, by endowing the objects occurring with auxiliary Graßmann generators coming from -points. A key feature of our model is a supergeometric parallel transport, which allows for a natural notion of holonomy on...
Superconnection currents and complex immersions.
Superconnections: an interpretation of the standard model.
The graded differential geometry of mixed symmetry tensors
We show how the theory of -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.
The meaning of time and covariant superderivatives in supermechanics.
The super complex Frobenius theorem
We formulate and prove a super analogue of the complex Frobenius theorem of Nirenberg.
The Supetrace on the Grassmann envelope M(m,n;Λ)
The torsion of spinor connections and related structures.
Three natural generalizations of Fedosov quantization.
What is the role of twistors in supergeometry.
Произведения и векторные расслоения в категории -супермногообразий