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Minimal sets for flows on moduli space |
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| Authors: | |
| Institution: | (1) Department of Mathematics, Cornell University, Ithaca, NY, USA;(2) Department of Mathematics, Ben Gurion University of the Negev, 84105 Be’er Sheva, Israel |
| Abstract: | LetS be a compact orientable surface, letQ be the moduli space of quadratic differentials onS and letM be a stratum inQ. We explicitly describe the minimal sets for the (Teichmüller) horocycle flow onM and onQ, and show that these correspond to horizontal cylindrical decompositions ofS. |
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