@article{Chen:212135,
title = {The xi-stability on the affine grassmannian},
author = {Chen, Zongbin},
publisher = {Springer Heidelberg},
journal = {Mathematische Zeitschrift},
address = {Heidelberg},
number = {3-4},
volume = {280},
pages = {22. 1163-1184},
year = {2015},
abstract = {We introduce a notion of xi-stability on the affine grassmannian (SIC) for the classical groups, this is the local version of the xi-stability on the moduli space of Higgs bundles on a curve introduced by Chaudouard and Laumon. We prove that the quotient (SIC)(xi)/T of the stable part (SIC)(xi) by the maximal torus T exists as an ind-k-scheme, and we introduce a reduction process analogous to the Harder-Narasimhan reduction for vector bundles over an algebraic curve. For the group , we calculate the Poincar, series of the quotient (SIC)(xi)/T.},
url = {http://infoscience.epfl.ch/record/212135},
doi = {10.1007/s00209-015-1471-2},
}