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 -