On Complex Supermanifolds with Trivial Canonical Bundle
Mathematical Physics
2016-07-27 v1 High Energy Physics - Theory
Algebraic Geometry
Differential Geometry
math.MP
Abstract
We give an algebraic characterisation for the triviality of the canonical bundle of a complex supermanifold in terms of a certain Batalin-Vilkovisky superalgebra structure. As an application, we study the Calabi-Yau case, in which an explicit formula in terms of the Levi-Civita connection is achieved. Our methods include the use of complex integral forms and the recently developed theory of superholonomy.
Keywords
Cite
@article{arxiv.1607.07686,
title = {On Complex Supermanifolds with Trivial Canonical Bundle},
author = {Josua Groeger},
journal= {arXiv preprint arXiv:1607.07686},
year = {2016}
}
Comments
24 pages