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Abstract
We consider an operator associated to compact Riemann surfaces endowed with a conformal map, f, from the unit disk into the surface, which arises in conformal field theory. This operator projects holomorphic functions on the surface minus the image of the conformal map onto the set of functions h so that the Fourier series h o f has only negative powers. We give an explicit characterization of the cokernel, kernel, and determinant line of this operator in terms of natural operators in function theory.
Original language  English 

Pages (fromto)  253271 
Number of pages  19 
Journal  New York Journal of Mathematics 
Volume  27 
Publication status  Published  2021 
MoE publication type  A1 Journal articlerefereed 
Keywords
 Determinant line
 Rigged Riemann surfaces
 Twodimensional conformal field theory
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Dive into the research topics of 'Schiffer operators and calculation of a determinant line in conformal field theory'. Together they form a unique fingerprint.Projects
 1 Finished

Algebraic structures and random geometry of stochastic lattice models
Kytölä, K., Abuzaid, O., Webb, C., Karrila, A., Flores, S., Gutiérrez, A. W., Kohl, F., Orlich, M. & Radnell, D.
01/09/2015 → 31/08/2019
Project: Academy of Finland: Other research funding