{"acknowledgement":" Financial support was provided in part by NSF Grants DMS-0072675 and DMS-0305505.","page":"231 - 248","doi":"10.1016/j.top.2004.04.002","issue":"1","abstract":[{"text":"We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkähler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohomology rings of a hyperpolygon space.","lang":"eng"}],"author":[{"full_name":"Tamas Hausel","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","first_name":"Tamas","last_name":"Hausel"},{"full_name":"Proudfoot, Nicholas J","last_name":"Proudfoot","first_name":"Nicholas"}],"year":"2005","publist_id":"5735","publisher":"Elsevier","month":"01","oa":1,"type":"journal_article","status":"public","date_updated":"2021-01-12T06:50:55Z","date_published":"2005-01-01T00:00:00Z","intvolume":"        44","citation":{"mla":"Hausel, Tamás, and Nicholas Proudfoot. “Abelianization for Hyperkähler Quotients.” <i>Topology</i>, vol. 44, no. 1, Elsevier, 2005, pp. 231–48, doi:<a href=\"https://doi.org/10.1016/j.top.2004.04.002\">10.1016/j.top.2004.04.002</a>.","ista":"Hausel T, Proudfoot N. 2005. Abelianization for hyperkähler quotients. Topology. 44(1), 231–248.","short":"T. Hausel, N. Proudfoot, Topology 44 (2005) 231–248.","apa":"Hausel, T., &#38; Proudfoot, N. (2005). Abelianization for hyperkähler quotients. <i>Topology</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.top.2004.04.002\">https://doi.org/10.1016/j.top.2004.04.002</a>","chicago":"Hausel, Tamás, and Nicholas Proudfoot. “Abelianization for Hyperkähler Quotients.” <i>Topology</i>. Elsevier, 2005. <a href=\"https://doi.org/10.1016/j.top.2004.04.002\">https://doi.org/10.1016/j.top.2004.04.002</a>.","ama":"Hausel T, Proudfoot N. Abelianization for hyperkähler quotients. <i>Topology</i>. 2005;44(1):231-248. doi:<a href=\"https://doi.org/10.1016/j.top.2004.04.002\">10.1016/j.top.2004.04.002</a>","ieee":"T. Hausel and N. Proudfoot, “Abelianization for hyperkähler quotients,” <i>Topology</i>, vol. 44, no. 1. Elsevier, pp. 231–248, 2005."},"quality_controlled":0,"title":"Abelianization for hyperkähler quotients","date_created":"2018-12-11T11:52:10Z","main_file_link":[{"url":"http://arxiv.org/abs/math/0310141","open_access":"1"}],"_id":"1463","publication":"Topology","volume":44,"publication_status":"published","day":"01","extern":1}