English

Universal Super Vector Bundles

Differential Geometry 2018-02-16 v1

Abstract

A new generalization of Grassmannians, called {\nu}-grassmannians, and a canonical super vector bundle over this new space, say {\Gamma}, are introduced. Then, constructing a Gauss supermap of a super vector bundle, the universal property of {\Gamma} is discussed. Finally, we generalize one of the main theorems of homotopy classification for vector bundles in supergeometry.

Keywords

Cite

@article{arxiv.1802.05506,
  title  = {Universal Super Vector Bundles},
  author = {Mohammad Javad Afshari and Saad Varsaie},
  journal= {arXiv preprint arXiv:1802.05506},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-23T00:23:22.659Z