%0 Journal Article
%A Lawton, S.
%A Muñoz, Vicente
%T E-polynomial of the SL(3,C)-character variety of free groups.
%D 2016
%@ 0030-8730
%U https://hdl.handle.net/20.500.14352/24505
%X We compute the E-polynomial of the character variety of representations of a rank r free group in SL(3,C). Expanding upon techniques of Logares, Muñoz and Newstead (Rev. Mat. Complut. 26:2 (2013), 635-703), we stratify the space of representations and compute the E-polynomial of each geometrically described stratum using fibrations. Consequently, we also determine the E-polynomial of its smooth, singular, and abelian loci and the corresponding Euler characteristic in each case. Along the way, we give a new proof of results of Cavazos and Lawton (Int. J. Math. 25:6 (2014), 1450058).
%~