Ehrenpreis conjecture
id:
ehrenpreis-conjecture-235-8059983
title:
Ehrenpreis conjecture
text:
In mathematics, the Ehrenpreis conjecture of Leon Ehrenpreis states that for any K greater than 1, any two closed Riemann surfaces of genus at least 2 have finite-degree covers which are K-quasiconformal: that is, the covers are arbitrarily close in the Teichmüller metric. A proof was announced by Jeremy Kahn and Vladimir Markovic in January 2011, using their proof of the Surface subgroup conjecture and a newly developed "good pants homology" theory. In June 2012, Kahn and Markovic were given th
brand slug:
wiki
category slug:
encyclopedia
description:
Any 2 closed Riemann surfaces of genus > 1 have quasiconformal finite-degree covers
original url:
https://en.wikipedia.org/wiki/Ehrenpreis_conjecture
date created:
date modified:
2022-05-26T04:57:59Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/eb/Jeremy_Kahn_and_Vladimir_Markovic.jpg","width":2241,"height":1602}
fields total:
13
integrity:
15