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Avila, Artur; Matheus, Carlos; Yoccoz, Jean-Christophe (2019). The Kontsevich–Zorich cocycle over Veech–McMullen family of symmetric translation surfaces. Journal of Modern Dynamics, 14(1):21-54.
We describe the Kontsevich–Zorich cocycle over an affine invariant orbifold coming from a (cyclic) covering construction inspired by works of Veech and McMullen. In particular, using the terminology in a recent paper of Filip, we show that all cases of Kontsevich–Zorich monodromies of SU(p,q) type are realized by appropriate covering constructions.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Algebra and Number Theory Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Algebra and Number Theory, Applied Mathematics, Analysis |
| Language: | English |
| Date: | 1 January 2019 |
| Deposited On: | 28 Jun 2019 08:42 |
| Last Modified: | 21 Jan 2025 02:38 |
| Publisher: | American Institute of Mathematical Sciences (A I M S Press) |
| ISSN: | 1930-532X |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.3934/jmd.2019002 |
Avila, Artur