The Szegő Kernel on a Sewn Riemann Surface

被引：0
作者：
Michael P. Tuite
Alexander Zuevsky
机构：
[1] National University of Ireland Galway,School of Mathematics, Statistics and Applied Mathematics
来源：
Communications in Mathematical Physics | 2011年 / 306卷
关键词：
Riemann Surface; Vertex Operator; Compact Riemann Surface; Vertex Operator Algebra; Period Matrix;
D O I：
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学科分类号：
摘要：
We describe the Szegő kernel on a higher genus Riemann surface in terms of Szegő 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 Szegő 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 Szegő kernel in these cases.
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页码：617 / 645
页数：28
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