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arXiv:1410.2129 [math.DS]AbstractReferencesReviewsResources

Zero Lyapunov exponents and monodromy of the Kontsevich-Zorich cocycle

Simion Filip

Published 2014-10-08Version 1

We describe the situations in which the Kontsevich-Zorich cocycle has zero Lyapunov exponents. Confirming a conjecture of Forni, Matheus, and Zorich, this only occurs when the cocycle satisfies additional geometric constraints. We also describe the real Lie groups which can appear in the monodromy of the Kontsevich-Zorich cocycle. The number of zero exponents is then as small as possible, given its monodromy.

Comments: 34 pages. Comments welcome!
Categories: math.DS, math.GT
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