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dc.contributor.authorTuite, Michael P.
dc.contributor.authorZuevsky, Alexander
dc.date.accessioned2012-01-09T13:44:05Z
dc.date.available2012-01-09T13:44:05Z
dc.date.issued2010
dc.identifier.citationMichael P. Tuite and Alexander Zuevsky(2010)The Szegö Kernel on a Sewn Riemann Surface, Michael P. Tuite and Alexander Zuevskyen_US
dc.identifier.urihttp://hdl.handle.net/10379/2442
dc.description.abstractWe describe the Szegö kernel on a higher genus Riemann surface in terms of Szegö kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a handle is sewn to a Riemann surface. We consider in detail the examples of the Szegö kernel on a genus two Riemann surface formed by either sewing together two punctured tori or by sewing a twice-punctured torus to itself. We also consider the modular properties of the Szegö kernel in these cases.
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.subjectMathematics - Quantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematics - Complex Variables
dc.titleThe Szegö Kernel on a Sewn Riemann Surfaceen_US
dc.typeArticleen_US
dc.local.publishedsourcehttp://arxiv.org/pdf/1002.4114en_US
dc.description.peer-reviewedpeer-revieweden_US
dc.local.authorsMichael P. Tuite and Alexander Zuevsky
dc.local.arxivid1002.4114
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