212135
20181203024013.0
doi
10.1007/s00209-015-1471-2
0025-5874
ISI
000358208300031
ARTICLE
The xi-stability on the affine grassmannian
Heidelberg
Springer Heidelberg
2015
2015
22
Journal Articles
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.
246609
Chen, Zongbin
223911
280
3-4
1163-1184
Mathematische Zeitschrift
252345
GEOM
U10122
oai:infoscience.tind.io:212135
SB
article
EPFL-ARTICLE-212135
EPFL
REVIEWED
PUBLISHED
ARTICLE