{"acknowledgement":" Financial support was provided in part by NSF Grants DMS-0072675 and DMS-0305505.","extern":1,"year":"2005","publist_id":"5735","type":"journal_article","publication":"Topology","date_published":"2005-01-01T00:00:00Z","citation":{"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>.","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>.","ieee":"T. Hausel and N. Proudfoot, “Abelianization for hyperkähler quotients,” <i>Topology</i>, vol. 44, no. 1. Elsevier, pp. 231–248, 2005.","short":"T. Hausel, N. Proudfoot, Topology 44 (2005) 231–248.","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>","ista":"Hausel T, Proudfoot N. 2005. Abelianization for hyperkähler quotients. Topology. 44(1), 231–248."},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math/0310141"}],"volume":44,"publication_status":"published","date_updated":"2021-01-12T06:50:55Z","issue":"1","status":"public","title":"Abelianization for hyperkähler quotients","doi":"10.1016/j.top.2004.04.002","date_created":"2018-12-11T11:52:10Z","_id":"1463","oa":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"}],"page":"231 - 248","publisher":"Elsevier","intvolume":"        44","month":"01","day":"01","quality_controlled":0,"author":[{"first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Tamas Hausel","last_name":"Hausel"},{"full_name":"Proudfoot, Nicholas J","last_name":"Proudfoot","first_name":"Nicholas"}]}