$H$-covering of a supermanifold

Fernando A. Z. Santamaria; Elizaveta Vishnyakova

doi:10.1016/j.geomphys.2025.105716

$H$-covering of a supermanifold

Differential Geometry 2025-11-24 v2 Mathematical Physics math.MP Symplectic Geometry

Authors: Fernando A. Z. Santamaria , Elizaveta Vishnyakova

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Abstract

We develop the theory of $H$ -graded manifolds for any finitely generated abelian group, using tools from representation theory. Furthermore, we introduce and investigate the notion of $H$ -graded coverings of supermanifolds in the case where $H$ is a finite abelian group.

Keywords

reflected McKean-Vlasov SDE well-posedness particle approximation convergence rate consensus-based optimization

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@article{arxiv.2412.20246,
  title  = {$H$-covering of a supermanifold},
  author = {Fernando A. Z. Santamaria and Elizaveta Vishnyakova},
  journal= {arXiv preprint arXiv:2412.20246},
  year   = {2025}
}

Comments

The paper has been revised, and a chapter on H-graded manifolds has been added, where H is any finitely generated abelian group

$H$-covering of a supermanifold

Abstract

Keywords

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