English

Topology of quadrature domains

Complex Variables 2015-08-20 v2 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.1307.0487,
  title  = {Topology of quadrature domains},
  author = {Seung-Yeop Lee and Nikolai Makarov},
  journal= {arXiv preprint arXiv:1307.0487},
  year   = {2015}
}

Comments

37 pages, 11 figures in J. Amer. Math. Soc., Published electronically: May 11, 2015