<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Klein foams</dc:title>
<dc:creator>Antonio Costa</dc:creator><dc:creator>Sabir Gusein-Zade</dc:creator><dc:creator>Sergey Natanzon</dc:creator>
<dc:subject>14H15</dc:subject><dc:subject>30F10</dc:subject><dc:subject>32G15</dc:subject><dc:subject>foams</dc:subject><dc:subject>Klein surfaces</dc:subject><dc:subject>moduli space</dc:subject>
<dc:description>Klein foams are analogues of Riemann and Klein surfaces with one-dimensional singularities. We prove that the field of dianalytic functions on a Klein foam $\Omega$ coincides with the field of dianalytic functions on a Klein surface $K_{\Omega}$. We construct the moduli space of Klein foams, and we prove that the set of classes of topologically equivalent Klein foams form an analytic space homeomorphic to $\mathbb{R}^n/\mathsf{Mod}$, where $\mathsf{Mod}$ is a discrete group.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2011</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2011.60.4296</dc:identifier>
<dc:source>10.1512/iumj.2011.60.4296</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 60 (2011) 985 - 996</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>