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The L^1 Ehrenpreis Conjecture

T. M. Gendron
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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.

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T. M. Gendron. 2005-06-24. The L^1 Ehrenpreis Conjecture. https://arxiv.org/abs/math/0506509

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