An example of a Teichmuller disk in genus 4 with degenerate Kontsevich-Zorich spectrum

Details An example of a Teichmuller disk in genus 4 with degenerate Kontsevich-Zorich spectrum An example of a Teichmuller disk in genus 4 with degenerate Kontsevich-Zorich spectrum

2008-09-30

arxiv.org/abs/0810.0023v1

Mathematics

Dynamical Systems

Scientific paper

We construct an orientable holomorphic quadratic differential on a Riemann
surface of genus 4 whose SL(2,R)-orbit is closed and has a highly degenerate
Kontsevich - Zorich spectrum. This example is related to a previous similar
construction in genus 3 by the first author.

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