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Moduli spaces of SUSY curves and their operads · arXivDesk

2202.10321Feb 21, 2022generalized the main result to unlabeled SUSY graphs allowing for automorphisms of corollas; clarified the relationship to the modular operad of moduli spaces of algebraic curves in all genera; improved presentation, in particular in Ch. 4 where we gave an explicit construction of SUSY operads in arbitrary categories

Moduli spaces of SUSY curves and their operads

Enno Keßler, Yuri I. Manin, Yingying Wu

Algebraic Geometry Mathematical Physics

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Abstract

This article generalizes the operad of moduli spaces of curves to SUSY curves. SUSY curves are algebraic curves with additional supersymmetric or supergeometric structure. Here, we focus on the description of the relevant category of graphs and its combinatorics as well as the construction of dual graphs of SUSY curves and the SUSY operad taking values in a category of moduli spaces of SUSY curves with Neveu-Schwarz and Ramond punctures.

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