[{"_id":"1461","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math/0306369"}],"intvolume":" 134","extern":1,"type":"journal_article","publist_id":"5733","month":"08","date_updated":"2021-01-12T06:50:54Z","issue":"8","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.","publication":"Proceedings of the American Mathematical Society","day":"01","volume":134,"status":"public","citation":{"apa":"Hausel, T., & Swartz, E. (2006). Intersection forms of toric hyperkähler varieties. *Proceedings of the American Mathematical Society*. American Mathematical Society. https://doi.org/10.1090/S0002-9939-06-08248-7","ista":"Hausel T, Swartz E. 2006. Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. 134(8), 2403–2409.","short":"T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134 (2006) 2403–2409.","ieee":"T. Hausel and E. Swartz, “Intersection forms of toric hyperkähler varieties,” *Proceedings of the American Mathematical Society*, vol. 134, no. 8. American Mathematical Society, pp. 2403–2409, 2006.","mla":"Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler Varieties.” *Proceedings of the American Mathematical Society*, vol. 134, no. 8, American Mathematical Society, 2006, pp. 2403–09, doi:10.1090/S0002-9939-06-08248-7.","chicago":"Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler Varieties.” *Proceedings of the American Mathematical Society*. American Mathematical Society, 2006. https://doi.org/10.1090/S0002-9939-06-08248-7."},"abstract":[{"lang":"eng"}],"oa":1,"date_published":"2006-08-01T00:00:00Z","quality_controlled":0,"page":"2403 - 2409","date_created":"2018-12-11T11:52:09Z","dc":{"identifier":["https://research-explorer.ista.ac.at/record/1461"],"publisher":["American Mathematical Society"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"rights":["info:eu-repo/semantics/openAccess"],"source":["Hausel T, Swartz E. Intersection forms of toric hyperkähler varieties. *Proceedings of the American Mathematical Society*. 2006;134(8):2403-2409. doi:10.1090/S0002-9939-06-08248-7"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-06-08248-7"],"creator":["Tamas Hausel","Swartz, Edward"],"title":["Intersection forms of toric hyperkähler varieties"],"description":["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."],"date":["2006"]},"publication_status":"published","author":[{"last_name":"Hausel","first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Swartz","first_name":"Edward"}],"dini_type":"doc-type:article","uri_base":"https://research-explorer.ista.ac.at"}]