English

Supergeometry in mathematics and physics

Algebraic Geometry 2018-04-03 v2

Abstract

This is a chapter for a planned collective volume entitled "New spaces in mathematics and physics" (M. Anel, G. Catren Eds.). The first part contains a short formal exposition of supergeometry as it is understood by mathematicians. The second part discusses aspects of supergeometry that are used by physicists in relation to supersymmetry. Finally, the third part is an attempt to uncover homotopy-theoretic roots of the super formalism.

Keywords

Cite

@article{arxiv.1512.07042,
  title  = {Supergeometry in mathematics and physics},
  author = {Mikhail Kapranov},
  journal= {arXiv preprint arXiv:1512.07042},
  year   = {2018}
}

Comments

34 pages

R2 v1 2026-06-22T12:15:47.111Z