{"_id":"1463","year":"2005","day":"01","issue":"1","page":"231 - 248","intvolume":"        44","doi":"10.1016/j.top.2004.04.002","quality_controlled":0,"date_updated":"2021-01-12T06:50:55Z","date_created":"2018-12-11T11:52:10Z","author":[{"last_name":"Hausel","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","first_name":"Tamas","full_name":"Tamas Hausel"},{"first_name":"Nicholas","last_name":"Proudfoot","full_name":"Proudfoot, Nicholas J"}],"title":"Abelianization for hyperkähler quotients","date_published":"2005-01-01T00:00:00Z","acknowledgement":" Financial support was provided in part by NSF Grants DMS-0072675 and DMS-0305505.","abstract":[{"lang":"eng","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."}],"status":"public","oa":1,"publication_status":"published","publist_id":"5735","type":"journal_article","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.","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>","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>.","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>"},"publisher":"Elsevier","month":"01","publication":"Topology","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math/0310141"}],"extern":1,"volume":44}