%0 Journal Article %T An example of a Teichmuller disk in genus 4 with degenerate Kontsevich-Zorich spectrum %A Giovanni Forni %A Carlos Matheus %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0810.0023v1