The L^1 Ehrenpreis Conjecture
Complex Variables
2007-05-23 v1 Geometric Topology
Abstract
Let \hat{S} be the algebraic universal cover of a closed surface of genus >1, T(\hat{S}) its Teichmuller space, M(\hat{S}) the group of mapping classes stabilizing a fixed leaf l. The L^1 Ehrenpreis conjecture asserts that M(\hat{S}) on T(\hat{S}) with dense orbits with respect to the L^1 topology (the topology induced by the L^1 norm on quadratic differentials). We give a proof of this weaker form of the Ehrenpreis conjecture.
Cite
@article{arxiv.math/0506509,
title = {The L^1 Ehrenpreis Conjecture},
author = {T. M. Gendron},
journal= {arXiv preprint arXiv:math/0506509},
year = {2007}
}
Comments
18 pages, 10 figures, submitted for publication