Publication

The szegő kernel on a sewn riemann surface

Tuite, Michael P.
; 
Zuevsky, Alexander
Identifiers
http://hdl.handle.net/10379/14216
 https://doi.org/10.13025/24663
Publication Date
2011-07-30
Keywords
half-order differentials, vertex operator-algebras, g-loop vertex
Type
Article
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Citation
Tuite, Michael P. Zuevsky, Alexander (2011). The szegő kernel on a sewn riemann surface. Communications in Mathematical Physics 306 (3), 617-645
Abstract
We describe the SzegA kernel on a higher genus Riemann surface in terms of SzegA 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 SzegA 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 SzegA kernel in these cases.
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Publisher
Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)