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Supergeometry in Mathematics and Physics

Name: Supergeometry in Mathematics and Physics
Creator: Mikhail Kapranov
Keywords: Mathematics - Algebraic Geometry, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Algebraic Geometry (math.AG)

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Apr 2021Embargo end date: 01 Jan 2015Publisher:Cambridge University Press (CUP)

Authors: Mikhail Kapranov;

doi: 10.1017/9781108854399.005 , 10.48550/arxiv.1512.07042

arXiv: http://arxiv.org/abs/1512.07042

Supergeometry in Mathematics and Physics

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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.

34 pages

Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%