Reference : Flows on the PSL(V)-Hitchin component
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Flows on the PSL(V)-Hitchin component
Sun, Zhe mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Wienhard, Anna mailto [Universität Heidelberg > Mathematisches Institut]
Zhang, Tengren mailto [National University of Singapore > Department of Mathematics]
Geometric and Functional Analysis
Birkhauser Verlag
Yes (verified by ORBilu)
[en] Hitchin components ; Flows ; Global coordinate system
[en] In this article we define new flows on the Hitchin components for PSL(n,R). Special examples of these flows are associated to simple closed curves on the surface and give generalized twist flows. Other examples, so called eruption flows, are associated to pair of pants in S and capture new phenomena which are not present in the case when n = 2. We determine a global coordinate system on the Hitchin component. Using the computation of the Goldman symplectic form on the Hitchin component, that is developed by two of the authors in a companion paper to this
article (Sun and Zhang in The Goldman symplectic form on the PGL(V)-Hitchin component, 2017. arXiv:1709.03589), this gives a global Darboux coordinate system on the Hitchin component.
FP7 ; 614733 - GEOMETRICSTRUCTURES - Deformation Spaces of Geometric Structures
FnR ; FNR13242285 > Zhe Sun > > COmbinatorial and ALgebraic Aspects of Surface group representations. > 01/09/2018 > 31/08/2020 > 2017

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