--- res: bibo_abstract: - 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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Tamas foaf_name: Tamas Hausel foaf_surname: Hausel foaf_workInfoHomepage: http://www.librecat.org/personId=4A0666D8-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Edward foaf_name: Swartz, Edward foaf_surname: Swartz bibo_doi: 10.1090/S0002-9939-06-08248-7 bibo_issue: '8' bibo_volume: 134 dct_date: 2006^xs_gYear dct_publisher: American Mathematical Society@ dct_title: Intersection forms of toric hyperkähler varieties@ ...