Localization formulas on complex supermanifolds
Differential Geometry
2019-10-01 v1 Mathematical Physics
Algebraic Geometry
math.MP
Symplectic Geometry
Abstract
In this work we provide a localization formulae for odd holomorphic super vector fields on compact complex supermanifolds with fermionic dimension equal to the bosonic dimension. We prove a residue theorem for holomorphic super vector fields with non-degenerated and isolated singularities and we determine the residues under certain generic local conditions.
Cite
@article{arxiv.1909.13087,
title = {Localization formulas on complex supermanifolds},
author = {Leonardo Abath and Maurício Corrêa and Miguel Rodríguez Peña},
journal= {arXiv preprint arXiv:1909.13087},
year = {2019}
}
Comments
40 pages