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arXiv · 1810.06714

Harmonic maps between ideal 2-dimensional simplicial complexes

Brian Freidin·Victòria Gras Andreu
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Abstract

We prove existence and regularity results for energy minimizing maps between ideal hyperbolic 2-dimensional simplicial complexes. The spaces in question were introduced by Charitos-Papadopoulos, who describe their Teichm\"uller spaces and some compactifications. This work is a first step in introducing harmonic map theory into the Teichm\"uller theory of these spaces.

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Brian Freidin, Victòria Gras Andreu. 2018-10-15. Harmonic maps between ideal 2-dimensional simplicial complexes. https://arxiv.org/abs/1810.06714

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