Geometry and analysis of spin equations

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dc.creatorFan, Huijun
dc.creatorJarvis, Tyler J.
dc.creatorRuan, Yongbin
dc.date2004-09-22
dc.date2008-02-23
dc.date.accessioned2026-07-07T09:22:38Z
dc.date.available2026-07-07T09:22:38Z
dc.descriptionWe introduce W-spin structures on a Riemann surface and give a precise definition to the corresponding W-spin equations for any quasi-homogeneous polynomial W. Then, we construct examples of nonzero solutions of spin equations in the presence of Ramond marked points. The main result of the paper is a compactness theorem for the moduli space of the solutions of W-spin equations when W is a non-degenerate, quasi-homogeneous polynomial whose variables all have weight (or fractional degree) wt(x_i) < 1/2. In particular, the compactness theorem holds for the A,D, and E superpotentials.
dc.descriptionAMSLaTeX; Minor errors corrected, exposition improved
dc.identifierhttps://arxiv.org/abs/math/0409434
dc.identifierhttp://arxiv.org/abs/math/0409434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155443
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectAnalysis of PDEs
dc.subjectSymplectic Geometry
dc.subject58J05; 53D45;14H15;32G13
dc.titleGeometry and analysis of spin equations
dc.typetext

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