A complex structure on the moduli space of rigged Riemann surfaces

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dc.creatorRadnell, David
dc.creatorSchippers, Eric
dc.date2005-12-22
dc.date.accessioned2026-07-07T06:54:41Z
dc.date.available2026-07-07T06:54:41Z
dc.descriptionThe study of Riemann surfaces with parametrized boundary components was initiated in conformal field theory (CFT). Motivated by general principles from Teichmueller theory, and applications to the construction of CFT from vertex operator algebras, we generalize the parametrizations to quasisymmetric maps. For a precise mathematical definition of CFT (in the sense of G. Segal), it is necessary that the moduli space of these Riemann surfaces be a complex manifold, and the sewing operation be holomorphic. We report on the recent proofs of these results by the authors.
dc.identifierhttps://arxiv.org/abs/math-ph/0512080
dc.identifierhttp://arxiv.org/abs/math-ph/0512080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106027
dc.subjectMathematical Physics
dc.subject30F60; 81T40
dc.titleA complex structure on the moduli space of rigged Riemann surfaces
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