Parabolic Higgs Bundles for Real Reductive Lie Groups
2018 ◽
pp. 653-680
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Keyword(s):
This chapter explains the correspondence between local systems on a punctured Riemann surface with the structure group being a real reductive Lie group G, and parabolic G-Higgs bundles. The chapter describes the objects involved in this correspondence, taking some time to motivate them by recalling the definitions of G-Higgs bundles without parabolic structure and of parabolic vector bundles. Finally, it explains the relevant polystability condition and the correspondence between local systems and Higgs bundles.
2013 ◽
Vol 10
(09)
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pp. 1350043
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2015 ◽
Vol 151
(8)
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pp. 1499-1528
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1985 ◽
Vol 38
(1)
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pp. 55-64
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Keyword(s):
2013 ◽
Vol 2013
◽
pp. 1-13
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Keyword(s):
2013 ◽
Vol 12
(08)
◽
pp. 1350055
2013 ◽
Vol 10
(07)
◽
pp. 1320011
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Keyword(s):
2016 ◽
Vol 08
(02)
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pp. 273-285
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1996 ◽
pp. 529-557