{"date_published":"2012-05-01T00:00:00Z","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\"","abstract":[{"lang":"eng","text":"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."}],"oa":1,"status":"public","publication_status":"published","publist_id":"5727","type":"journal_article","citation":{"mla":"De Cataldo, Mark, et al. “Topology of Hitchin Systems and Hodge Theory of Character Varieties: The Case A 1.” <i>Annals of Mathematics</i>, vol. 175, no. 3, Princeton University Press, 2012, pp. 1329–407, doi:<a href=\"https://doi.org/10.4007/annals.2012.175.3.7\">10.4007/annals.2012.175.3.7</a>.","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.","short":"M. De Cataldo, T. Hausel, L. Migliorini, Annals of Mathematics 175 (2012) 1329–1407.","ieee":"M. De Cataldo, T. Hausel, and L. Migliorini, “Topology of hitchin systems and Hodge theory of character varieties: The case A 1,” <i>Annals of Mathematics</i>, vol. 175, no. 3. Princeton University Press, pp. 1329–1407, 2012.","apa":"De Cataldo, M., Hausel, T., &#38; Migliorini, L. (2012). Topology of hitchin systems and Hodge theory of character varieties: The case A 1. <i>Annals of Mathematics</i>. Princeton University Press. <a href=\"https://doi.org/10.4007/annals.2012.175.3.7\">https://doi.org/10.4007/annals.2012.175.3.7</a>","ama":"De Cataldo M, Hausel T, Migliorini L. Topology of hitchin systems and Hodge theory of character varieties: The case A 1. <i>Annals of Mathematics</i>. 2012;175(3):1329-1407. doi:<a href=\"https://doi.org/10.4007/annals.2012.175.3.7\">10.4007/annals.2012.175.3.7</a>","chicago":"De Cataldo, Mark, Tamás Hausel, and Luca Migliorini. “Topology of Hitchin Systems and Hodge Theory of Character Varieties: The Case A 1.” <i>Annals of Mathematics</i>. Princeton University Press, 2012. <a href=\"https://doi.org/10.4007/annals.2012.175.3.7\">https://doi.org/10.4007/annals.2012.175.3.7</a>."},"publisher":"Princeton University Press","publication":"Annals of Mathematics","month":"05","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1004.1420"}],"extern":1,"volume":175,"_id":"1472","year":"2012","day":"01","issue":"3","page":"1329 - 1407","intvolume":"       175","doi":"10.4007/annals.2012.175.3.7","quality_controlled":0,"date_updated":"2021-01-12T06:50:59Z","date_created":"2018-12-11T11:52:13Z","author":[{"first_name":"Mark","last_name":"De Cataldo","full_name":"De Cataldo, Mark A"},{"first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","last_name":"Hausel","full_name":"Tamas Hausel"},{"full_name":"Migliorini, Luca","last_name":"Migliorini","first_name":"Luca"}],"title":"Topology of hitchin systems and Hodge theory of character varieties: The case A 1"}