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.
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: | 22 Sep 2023 01:42 |
| 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