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Published May 11, 2016 | Submitted
Journal Article Open

Topology of quadrature domains

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.

Additional Information

© 2015 American Mathematical Society. Received by editor(s): July 15, 2013; Received by editor(s) in revised form: November 13, 2014; Published electronically: May 11, 2015. The first author was supported by Sherman Fairchild Senior Research Fellowship. The second author was supported by NSF grant no. 1101735. The authors would like to thank Dmitry Khavinson, Curtis McMullen, and Paul Wiegmann for their interest and useful discussions.

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