In Batalin–Vilkovisky formalism, a classical mechanical system is specified by means of a
solution to the classical master equation. Geometrically, such a solution can be considered …

This book aims to fill the gap in the available literature on supermanifolds, describing the
different approaches to supermanifolds together with various applications to physics …

The author presents the first detailed and original account of his theory of forms on
supermanifolds-a correct and non-trivial analogue of Cartan-de Rham theory based on new …

Integral forms provide a natural and powerful tool for the construction of supergravity actions.
They are generalizations of usual differential forms and are needed for a consistent theory of …

This is the first of two papers in which we construct the Hodge dual for supermanifolds by
means of the Grassmannian Fourier transform of superforms. In this paper we introduce the …

Geometrical meaning of superstring pictures is discussed in details. An off-shell
generalization of the picture changing operation and its inverse are constructed. It is …

We present a new geometrical approach to superstrings based on the geometrical theory of
integration on supermanifolds. This approach provides an effective way to calculate multi …

This paper provides a rigorous account on the geometry of forms on supermanifolds, with a
focus on its algebraic-geometric aspects. First, we introduce the de Rham complex of …

We discuss the cohomology of superforms and integral forms from a new perspective based
on a recently proposed Hodge dual operator. We show how the superspace constraints (aka …

We present a study on the integral forms and their Čech and de Rham cohomology. We
analyze the problem from a general perspective of sheaf theory and we explore examples in …