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Higher derivatives of length functions along earthquake deformations

Geometric Topology 2014-11-12 v1

Abstract

We calculate the higher derivatives of length functions on Teichmuller space along earthquake deformations. This generalizes the cosine formula for the first derivative by Kerckhoff and Wolpert and the sine formula for second derivative by Wolpert.

Keywords

Cite

@article{arxiv.1411.2935,
  title  = {Higher derivatives of length functions along earthquake deformations},
  author = {Martin Bridgeman},
  journal= {arXiv preprint arXiv:1411.2935},
  year   = {2014}
}

Comments

12 pages, 1 figure