Topology of quadrature domains

Lee, Seung-Yeop; Makarov, Nikolai

doi:10.1090/jams828

Topology of quadrature domains
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by Seung-Yeop Lee and Nikolai G. Makarov

J. Amer. Math. Soc. 29 (2016), 333-369

DOI: https://doi.org/10.1090/jams828

Published electronically: May 11, 2015

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Abstract:

We address the problem of topology of quadrature domains, namely we give upper bounds on the connectivity of the domain in terms of the number of nodes and their multiplicities in the quadrature identity.

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