@article{1465,
abstract = {We prove a generating function formula for the Betti numbers of Nakajima quiver varieties. We prove that it is a q-deformation of the Weyl-Kac character formula. In particular this implies that the constant term of the polynomial counting the number of absolutely indecomposable representations of a quiver equals the multiplicity of a certain weight in the corresponding Kac-Moody algebra, which was conjectured by Kac in 1982.},
author = {Tamas Hausel},
journal = {Inventiones Mathematicae},
number = {1},
pages = {21 -- 37},
publisher = {Springer},
title = {{Kac's conjecture from Nakajima quiver varieties}},
doi = {10.1007/s00222-010-0241-3},
volume = {181},
year = {2010},
}