{"publist_id":"5733","month":"08","publisher":"American Mathematical Society","oa":1,"type":"journal_article","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.","page":"2403 - 2409","doi":"10.1090/S0002-9939-06-08248-7","abstract":[{"lang":"eng","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."}],"issue":"8","author":[{"id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","first_name":"Tamas","last_name":"Hausel","full_name":"Tamas Hausel"},{"first_name":"Edward","last_name":"Swartz","full_name":"Swartz, Edward"}],"year":"2006","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math/0306369"}],"_id":"1461","publication":"Proceedings of the American Mathematical Society","volume":134,"publication_status":"published","day":"01","extern":1,"status":"public","date_updated":"2021-01-12T06:50:54Z","date_published":"2006-08-01T00:00:00Z","intvolume":"       134","citation":{"short":"T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134 (2006) 2403–2409.","ista":"Hausel T, Swartz E. 2006. Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. 134(8), 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>.","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>","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>"},"quality_controlled":0,"title":"Intersection forms of toric hyperkähler varieties","date_created":"2018-12-11T11:52:09Z"}