Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 44-54
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We show that there is a bijective correspondence between the polystable parabolic principal $G$ -bundles and solutions of the Hermitian-Einstein equation.
Mots-clés :
32L04, 53C07, ramified principal bundle, parabolic principal bundle, Hitchin-Kobayashi correspondence, polystability
Biswas, Indranil; Dey, Arijit. Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 44-54. doi: 10.4153/CMB-2011-109-x
@article{10_4153_CMB_2011_109_x,
author = {Biswas, Indranil and Dey, Arijit},
title = {Polystable {Parabolic} {Principal} {G-Bundles} and {Hermitian-Einstein} {Connections}},
journal = {Canadian mathematical bulletin},
pages = {44--54},
year = {2013},
volume = {56},
number = {1},
doi = {10.4153/CMB-2011-109-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-109-x/}
}
TY - JOUR AU - Biswas, Indranil AU - Dey, Arijit TI - Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections JO - Canadian mathematical bulletin PY - 2013 SP - 44 EP - 54 VL - 56 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-109-x/ DO - 10.4153/CMB-2011-109-x ID - 10_4153_CMB_2011_109_x ER -
%0 Journal Article %A Biswas, Indranil %A Dey, Arijit %T Polystable Parabolic Principal G-Bundles and Hermitian-Einstein Connections %J Canadian mathematical bulletin %D 2013 %P 44-54 %V 56 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-109-x/ %R 10.4153/CMB-2011-109-x %F 10_4153_CMB_2011_109_x
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