arXiv subjects

G. Bonavolontà

Publications and source records attributed to G. Bonavolontà.

3 recordsLinked to original sources

arXiv2013

Local BRST cohomology for AKSZ field theories: a global approach I

We study the Lagrangian antifield BRST formalism, formulated in terms of exterior horizontal forms on the infinite order jet space of graded fields for topological field theories associated to $Q$-bundles. In the case of a trivial Q-bundle with a flat fiber and arbitrary base, we prove that the BRST cohomology are isomorphic to the cohomology of the target space differential "twisted" by the de Rham cohomology of the base manifold. This generalizes the local result of G. Barnich and M. Grigoriev, computed for a flat base manifold.

math-ph↗

arXiv2013

The Cauchy problem for D-modules on Ran spaces

We will adopt an elementary approach to D-modules on Ran spaces in terms of two-limits; the aim here is to define the category of coherent D-modules, characteristic varieties and non-characteristic maps. An application will be the proof of the Cauchy-Kowaleski-Kashiwara theorem in this setting.

math.AG↗

arXiv2013

On the space of super maps between smooth supermanifolds

Mapping spaces of supermanifolds are usually thought as exclusively in functorial terms (i.e. trough the Grothendieck functor of points). In this work we provide a geometric description of such mapping spaces in terms of infinite-dimensional super-vector bundles.

math.DG↗