{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T18:49:03Z","timestamp":1773254943529,"version":"3.50.1"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"name":"FCT, Portugal","award":["PTDC\/MAT-GEO\/0675\/2012"],"award-info":[{"award-number":["PTDC\/MAT-GEO\/0675\/2012"]}]},{"name":"FCT, Portugal","award":["PTDC\/MAT\/120411\/2010"],"award-info":[{"award-number":["PTDC\/MAT\/120411\/2010"]}]},{"DOI":"10.13039\/100000001","name":"U.S. National Science Foundation","doi-asserted-by":"crossref","award":["DMS 1107452"],"award-info":[{"award-number":["DMS 1107452"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000001","name":"U.S. National Science Foundation","doi-asserted-by":"crossref","award":["DMS 1107263"],"award-info":[{"award-number":["DMS 1107263"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000001","name":"U.S. National Science Foundation","doi-asserted-by":"crossref","award":["DMS 1107367"],"award-info":[{"award-number":["DMS 1107367"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"crossref","award":["245642"],"award-info":[{"award-number":["245642"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000001","name":"U.S. National Science Foundation","doi-asserted-by":"crossref","award":["DMS 1309376"],"award-info":[{"award-number":["DMS 1309376"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Centro de Matem\u00e1tica da Universidade de Tr\u00e1s-os-Montes e Alto Douro","award":["PEst-OE\/MAT\/UI4080\/2011"],"award-info":[{"award-number":["PEst-OE\/MAT\/UI4080\/2011"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,3,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Let <jats:italic>G<\/jats:italic> be a real reductive algebraic group with maximal compact\nsubgroup <jats:italic>K<\/jats:italic>, and let <jats:italic>F<jats:sub>r<\/jats:sub>\n                  <\/jats:italic> be a rank <jats:italic>r<\/jats:italic> free group.\nWe show that the space of closed orbits in\nHom(<jats:italic>F<jats:sub>r<\/jats:sub>\n                  <\/jats:italic>,<jats:italic>G<\/jats:italic>)\/<jats:italic>G<\/jats:italic>\nadmits a strong deformation retraction to the orbit space Hom(<jats:italic>F<jats:sub>r<\/jats:sub>\n                  <\/jats:italic>,<jats:italic>K<\/jats:italic>)\/<jats:italic>K<\/jats:italic>.\nIn particular, all such spaces have the same homotopy type. We compute\nthe Poincar\u00e9 polynomials of these spaces for some low rank groups\n<jats:italic>G<\/jats:italic>, such as Sp(4,\u211d) and U(2,2). We also compare\nthese real moduli spaces to the real points of the corresponding complex\nmoduli spaces, and describe the geometry of many examples.<\/jats:p>","DOI":"10.1515\/forum-2014-0049","type":"journal-article","created":{"date-parts":[[2014,9,9]],"date-time":"2014-09-09T14:56:45Z","timestamp":1410274605000},"page":"275-294","source":"Crossref","is-referenced-by-count":8,"title":["Topology of moduli spaces of free group representations in real reductive groups"],"prefix":"10.1515","volume":"28","author":[{"given":"Ana","family":"Casimiro","sequence":"first","affiliation":[{"name":"Departamento Matem\u00e1tica, Faculdade de Ci\u00eancias e Tecnologia, Universidade Nova de Lisboa, Portugal"}]},{"given":"Carlos","family":"Florentino","sequence":"additional","affiliation":[{"name":"Departamento Matem\u00e1tica, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisbon, Portugal"}]},{"given":"Sean","family":"Lawton","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, Virginia, 22030, USA"}]},{"given":"Andr\u00e9","family":"Oliveira","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade de Tr\u00e1s-os-Montes e Alto Douro, UTAD, Quinta dos Prados, 5001-801 Vila Real, Portugal"}]}],"member":"374","published-online":{"date-parts":[[2014,9,9]]},"container-title":["Forum Mathematicum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/forum-2014-0049\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/forum-2014-0049\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T22:56:26Z","timestamp":1680303386000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/forum-2014-0049\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,9]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,1,10]]},"published-print":{"date-parts":[[2016,3,1]]}},"alternative-id":["10.1515\/forum-2014-0049"],"URL":"https:\/\/doi.org\/10.1515\/forum-2014-0049","relation":{},"ISSN":["0933-7741","1435-5337"],"issn-type":[{"value":"0933-7741","type":"print"},{"value":"1435-5337","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,9]]}}}