This note describes an invariant of rational homology 3-spheres in terms of configuration space integrals which in some sense lies between the invariants of Axelrod and Singer [2] and those of… (More)

General boundary conditions (“branes”) for the Poisson sigma model are studied. They turn out to be labeled by coisotropic submanifolds of the given Poisson manifold. The role played by these… (More)

The real cohomology of the space of imbeddings of S into R , n > 3, is studied by using configuration space integrals. Nontrivial classes are explicitly constructed. As a by-product, we prove the… (More)

In recent years methods for the integration of Poisson manifolds and of Lie algebroids have been proposed, the latter being usually presented as a generalization of the former. In this note it is… (More)

The first part of this paper is a short review of the construction of invariants of rational homology 3-spheres and knots in terms of configuration space integrals. The second part describes the… (More)

We study the differential geometry of principal G-bundles whose base space is the space of free paths (loops) on a manifold M. In particular we consider connections defined in terms of pairs (A,B),… (More)

Kontsevich’s formality theorem states that the differential graded Lie algebra of multidifferential operators on a manifold M is L∞-quasi-isomorphic to its cohomology. The construction of the L∞-map… (More)

An observable for nonabelian, higher-dimensional forms is introduced, its properties are discussed and its expectation value in BF theory is described. This is shown to produce potential and genuine… (More)

The classical action for pure Yang-Mills gauge theory can be formulated as a deformation of the topological BF theory where, beside the two-form field B, one has to add one extra-field m given by a… (More)

This paper analyzes in details the Batalin–Vilkovisky qua ntization procedure for BF theories on an -dimensional manifold and describes a suitable superforma lis to deal with the master equation and… (More)