On the Geometry of Super Riemann Surfaces

DOI10.1007/978-3-642-21744-9_7zbMath1251.32005OpenAlexW111199568MaRDI QIDQ2909963

Stephen Kwok

Publication date: 7 September 2012

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-21744-9_7

zbMATH Keywords

super Riemann surfaces\(\Pi\)-projective geometry

Mathematics Subject Classification ID

Complex supergeometry (32C11)

Cites Work

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• A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
• Global structures for the moduli of (punctured) super Riemann surfaces
• Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string
• \(\mathcal D\)-modules on 11 supercurves
• Unitary representations of nilpotent super Lie groups
• Supertori are algebraic curves
• Super Riemann surfaces: Uniformization and Teichmüller theory
• Supersymmetric elliptic and modular functions
• Geometry of superconformal manifolds
• Elements of supergeometry
• Selberg super-trace formula for super Riemann surfaces. II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions
• Selberg supertrace formula for super Riemann surfaces. III: Bordered super Riemann surfaces
• Super elliptic curves
• Mathematical foundations of supersymmetry
• Superdistributions, analytic and algebraic super Harish-Chandra pairs

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