[{"oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1004.1420"}],"citation":{"chicago":"De Cataldo, Mark, Tamás Hausel, and Luca Migliorini. “Topology of Hitchin Systems and Hodge Theory of Character Varieties: The Case A 1.” Annals of Mathematics. Princeton University Press, 2012. https://doi.org/10.4007/annals.2012.175.3.7.","short":"M. De Cataldo, T. Hausel, L. Migliorini, Annals of Mathematics 175 (2012) 1329–1407.","mla":"De Cataldo, Mark, et al. “Topology of Hitchin Systems and Hodge Theory of Character Varieties: The Case A 1.” Annals of Mathematics, vol. 175, no. 3, Princeton University Press, 2012, pp. 1329–407, doi:10.4007/annals.2012.175.3.7.","apa":"De Cataldo, M., Hausel, T., & Migliorini, L. (2012). Topology of hitchin systems and Hodge theory of character varieties: The case A 1. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.3.7","ieee":"M. De Cataldo, T. Hausel, and L. Migliorini, “Topology of hitchin systems and Hodge theory of character varieties: The case A 1,” Annals of Mathematics, vol. 175, no. 3. Princeton University Press, pp. 1329–1407, 2012.","ista":"De Cataldo M, Hausel T, Migliorini L. 2012. Topology of hitchin systems and Hodge theory of character varieties: The case A 1. Annals of Mathematics. 175(3), 1329–1407."},"publication":"Annals of Mathematics","page":"1329 - 1407","quality_controlled":0,"date_published":"2012-05-01T00:00:00Z","dc":{"creator":["De Cataldo, Mark A","Tamas Hausel","Migliorini, Luca"],"description":["For G = GL 2, PGL 2, SL 2 we prove that the perverse filtration associated with the Hitchin map on the rational cohomology of the moduli space of twisted G-Higgs bundles on a compact Riemann surface C agrees with the weight filtration on the rational cohomology of the twisted G character variety of C when the cohomologies are identified via non-Abelian Hodge theory. The proof is accomplished by means of a study of the topology of the Hitchin map over the locus of integral spectral curves."],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"identifier":["https://research-explorer.ista.ac.at/record/1472"],"date":["2012"],"publisher":["Princeton University Press"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.4007/annals.2012.175.3.7"],"title":["Topology of hitchin systems and Hodge theory of character varieties: The case A 1"],"source":["De Cataldo M, Hausel T, Migliorini L. Topology of hitchin systems and Hodge theory of character varieties: The case A 1. Annals of Mathematics. 2012;175(3):1329-1407. doi:10.4007/annals.2012.175.3.7"],"rights":["info:eu-repo/semantics/openAccess"]},"uri_base":"https://research-explorer.ista.ac.at","month":"05","day":"01","_id":"1472","acknowledgement":"Mark Andrea A. de Cataldo was partially supported by N.S.A. and N.S.F. Tamás Hausel was supported by a Royal Society University Research Fellowship. Luca Migliorini was partially supported by PRIN 2007 project \"Spazi di moduli e teoria di Lie\"","intvolume":" 175","status":"public","publication_status":"published","author":[{"first_name":"Mark","last_name":"De Cataldo"},{"id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","last_name":"Hausel","first_name":"Tamas"},{"first_name":"Luca","last_name":"Migliorini"}],"volume":175,"date_updated":"2021-01-12T06:50:59Z","dini_type":"doc-type:article","date_created":"2018-12-11T11:52:13Z","type":"journal_article","publist_id":"5727","issue":"3","abstract":[{"lang":"eng"}],"extern":1}]