TY - JOUR AB - This note proves combinatorially that the intersection pairing on the middle-dimensional compactly supported cohomology of a toric hyperkähler variety is always definite, providing a large number of non-trivial L 2 harmonic forms for toric hyperkähler metrics on these varieties. This is motivated by a result of Hitchin about the definiteness of the pairing of L 2 harmonic forms on complete hyperkähler manifolds of linear growth. AU - Tamas Hausel AU - Swartz, Edward ID - 1461 IS - 8 JF - Proceedings of the American Mathematical Society TI - Intersection forms of toric hyperkähler varieties VL - 134 ER -