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Supergeometry in mathematics and physics

2015/12/22 by Mikhail Kapranov, Kapranov, Mikhail · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.1512.07042

34 pages

arxiv created 2018/04/02 · arxiv updated 2018/04/03

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.

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