Let Σ be a closed oriented Riemann surface of genus at least 2. By using symplectic chain complex, we construct a volume element for a Hitchin component of Hom(π₁(Σ),PSLₙ(ℝ))/PSLₙ(ℝ) for n > 2.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-3-4, author = {Ya\c sar S\"ozen}, title = {On a volume element of a Hitchin component}, journal = {Fundamenta Mathematicae}, volume = {219}, year = {2012}, pages = {249-264}, zbl = {1319.57017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-3-4} }
Yaşar Sözen. On a volume element of a Hitchin component. Fundamenta Mathematicae, Tome 219 (2012) pp. 249-264. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-3-4/