{"main_file_link":[{"url":"http://arxiv.org/abs/math/0306369","open_access":"1"}],"page":"2403 - 2409","acknowledgement":"The first author was partly supported by NSF grant DMS-0072675. The second author was partly supported by a VIGRE postdoc under NSF grant number 9983660 to Cornell University.","publist_id":"5733","extern":1,"author":[{"full_name":"Tamas Hausel","first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","last_name":"Hausel"},{"full_name":"Swartz, Edward","first_name":"Edward","last_name":"Swartz"}],"day":"01","year":"2006","date_published":"2006-08-01T00:00:00Z","quality_controlled":0,"date_updated":"2021-01-12T06:50:54Z","publication":"Proceedings of the American Mathematical Society","intvolume":"       134","status":"public","abstract":[{"text":"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.","lang":"eng"}],"date_created":"2018-12-11T11:52:09Z","citation":{"apa":"Hausel, T., &#38; Swartz, E. (2006). Intersection forms of toric hyperkähler varieties. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/S0002-9939-06-08248-7\">https://doi.org/10.1090/S0002-9939-06-08248-7</a>","short":"T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134 (2006) 2403–2409.","chicago":"Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler Varieties.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2006. <a href=\"https://doi.org/10.1090/S0002-9939-06-08248-7\">https://doi.org/10.1090/S0002-9939-06-08248-7</a>.","mla":"Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler Varieties.” <i>Proceedings of the American Mathematical Society</i>, vol. 134, no. 8, American Mathematical Society, 2006, pp. 2403–09, doi:<a href=\"https://doi.org/10.1090/S0002-9939-06-08248-7\">10.1090/S0002-9939-06-08248-7</a>.","ieee":"T. Hausel and E. Swartz, “Intersection forms of toric hyperkähler varieties,” <i>Proceedings of the American Mathematical Society</i>, vol. 134, no. 8. American Mathematical Society, pp. 2403–2409, 2006.","ama":"Hausel T, Swartz E. Intersection forms of toric hyperkähler varieties. <i>Proceedings of the American Mathematical Society</i>. 2006;134(8):2403-2409. doi:<a href=\"https://doi.org/10.1090/S0002-9939-06-08248-7\">10.1090/S0002-9939-06-08248-7</a>","ista":"Hausel T, Swartz E. 2006. Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. 134(8), 2403–2409."},"type":"journal_article","doi":"10.1090/S0002-9939-06-08248-7","_id":"1461","month":"08","issue":"8","title":"Intersection forms of toric hyperkähler varieties","volume":134,"publication_status":"published","oa":1,"publisher":"American Mathematical Society"}