Line bundles on super Riemann surfaces

DOI10.1007/BF01218581zbMath0662.58010OpenAlexW2032869080MaRDI QIDQ1113500

Steven B. Giddings, Philip A. Nelson

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01218581

zbMATH Keywords

Chern numberconstraintssuper Riemann surfacessuperconformal structure

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (12)

Projective superspaces in practice ⋮ Geometry of Dual Pairs of Complex Supercurves ⋮ On the semigroup nature of superconformal symmetry ⋮ The geometry of super Riemann surfaces ⋮ Ideal structure for superconformal semigroups ⋮ Supercurves, their Jacobians, and super KP equations ⋮ The variety of positive superdivisors of a supercurve (supervortices) ⋮ \(\mathcal D\)-modules on 11 supercurves ⋮ Deformations of super Riemann surfaces ⋮ On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures ⋮ Line bundles over families of (super) Riemann surfaces. I: The non-graded case. II: The graded case ⋮ Super elliptic curves

Cites Work

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• Geometry of superconformal field theories in two dimensions
• D-modules on supermanifolds
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Theta functions, modular invariance, and strings
• Bosonization on higher genus Riemann surfaces
• Holomorphic coordinates for supermoduli space
• The geometry of super Riemann surfaces
• Geometry of superconformal manifolds
• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• The Structure of Supermanifolds

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