The L^1 Ehrenpreis Conjecture

Details The L^1 Ehrenpreis Conjecture The L^1 Ehrenpreis Conjecture

2005-06-24

arxiv.org/abs/math/0506509v1

Mathematics

Complex Variables

18 pages, 10 figures, submitted for publication

Scientific paper

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.

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