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The Szegö Kernel on a Sewn Riemann Surface

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dc.contributor.author Tuite, Michael P.
dc.contributor.author Zuevsky, Alexander
dc.date.accessioned 2012-01-09T13:44:05Z
dc.date.available 2012-01-09T13:44:05Z
dc.date.issued 2010
dc.identifier.citation Michael P. Tuite and Alexander Zuevsky(2010)The Szegö Kernel on a Sewn Riemann Surface, Michael P. Tuite and Alexander Zuevsky en_US
dc.identifier.uri http://hdl.handle.net/10379/2442
dc.description.abstract We 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.format application/pdf en_US
dc.language.iso en en_US
dc.subject Mathematics - Quantum Algebra
dc.subject High Energy Physics - Theory
dc.subject Mathematics - Complex Variables
dc.title The Szegö Kernel on a Sewn Riemann Surface en_US
dc.type Article en_US
dc.local.publishedsource http://arxiv.org/pdf/1002.4114 en_US
dc.description.peer-reviewed peer-reviewed en_US
dc.local.authors Michael P. Tuite and Alexander Zuevsky
dc.local.arxivid 1002.4114

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