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Riemann Surfaces

2011
Abstract The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an extremely useful part of mathematics, knowledge of which is needed by specialists in many other fields.
  +5 more sources

Identification of a Connection from Cauchy Data on a Riemann Surface with Boundary

, 2010
We consider a connection $${\nabla^X}$$ on a complex line bundle over a Riemann surface with boundary M0, with connection 1-form X. We show that the Cauchy data space of the connection Laplacian (also called magnetic Laplacian) $${L := \nabla^X{^*\nabla ...
C. Guillarmou, L. Tzou
semanticscholar   +1 more source

The Szegő Kernel on a Sewn Riemann Surface

, 2010
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.
M. Tuite, A. Zuevsky
semanticscholar   +1 more source

Riemann Surfaces

Journal of Soviet Mathematics, 1980
Hershel M. Farkas, Irwin Kra
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Riemann Surfaces

2022
Anil Nerode, Noam Greenberg
openaire   +1 more source

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