%0 Generic %1 Marche2007 %A Marche, Julien %A Will, Pierre %D 2007 %K class mapping %T A la Fock-Goncharov coordinates for PU(2,1) %U http://arxiv.org/abs/0710.3327 %X We describe a set of coordinates on the PU(2,1)-representation variety of the fundamental group of an oriented punctured surface $S$ with negative Euler characteristic. The main technical tool we use is a set of geometric invariants of a triple of flags in the complex hyperpolic plane. We establish a bijection between a set of decorations of an ideal triangulation of $S$ and a subset of the PU(2,1)-representation variety of $\pi_1(S)$.

@misc{Marche2007, abstract = { We describe a set of coordinates on the PU(2,1)-representation variety of the fundamental group of an oriented punctured surface $S$ with negative Euler characteristic. The main technical tool we use is a set of geometric invariants of a triple of flags in the complex hyperpolic plane. We establish a bijection between a set of decorations of an ideal triangulation of $S$ and a subset of the PU(2,1)-representation variety of $\pi_1(S)$. }, added-at = {2010-11-02T15:50:13.000+0100}, author = {Marche, Julien and Will, Pierre}, biburl = {https://www.bibsonomy.org/bibtex/28e8c95524eba6a0541d8640e0b835f4e/uludag}, description = {A la Fock-Goncharov coordinates for PU(2,1)}, interhash = {36ad89ded3b21993156a9fd7f776dad9}, intrahash = {8e8c95524eba6a0541d8640e0b835f4e}, keywords = {class mapping}, note = {cite arxiv:0710.3327 Comment: 23 pages, 2 figures}, timestamp = {2010-11-02T15:50:13.000+0100}, title = {A la Fock-Goncharov coordinates for PU(2,1)}, url = {http://arxiv.org/abs/0710.3327}, year = 2007 }