Extending \({\bar \partial}\) to singular Riemann surfaces

DOI10.1016/0393-0440(88)90015-0zbMath0692.30038OpenAlexW2092011420MaRDI QIDQ583431

I. M. Singer, Robert T. Seeley

Publication date: 1988

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(88)90015-0

zbMATH Keywords

delta bar operatorPolyakov measure

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Differentials on Riemann surfaces (30F30)

Related Items

Moduli of twisted spin curves, Dirac operators on cobordisms: Degenerations and surgery, Conic degeneration of the Gauss-Bonnet operator, The virtual class of the moduli stack of stable \(r\)-spin curves, The Hitchin fibration under degenerations to noded Riemann surfaces, Analytic torsion and R-torsion of Witt representations on manifolds with cusps, From the signature theorem to anomaly cancellation, Punctures and \(p\)-spin curves from matrix models, A comparison theorem for Gromov-Witten invariants in the symplectic category, On \(L^ 2\)-index theorems for complete manifolds of rank-one type, Resolvent, heat kernel, and torsion under degeneration to fibered cusps, Analytic surgery and the eta invariant, Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I

Cites Work

• Determinants of Cauchy-Riemann operators on a Riemann surface
• The Mumford form and the Polyakov measure in string theory
• An Index Theorem for First Order Regular Singular Operators
• Spectral asymmetry and Riemannian Geometry. I
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