@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}, }