Quotients on the Sato Grassmannian and the moduli of vector bundles

被引：0

作者：

Casimiro, A. C. ^{[1
]}

Porras, J. M. Munoz ^{[2
,3
]}

Martin, F. J. Plaza ^{[2
,3
]}

机构：

[1] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, P-1200 Lisbon, Portugal

[2] Univ Salamanca, Dept Matemat, E-37008 Salamanca, Spain

[3] Univ Salamanca, IUFFyM, E-37008 Salamanca, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 19期

关键词：

D O I：

10.1088/1751-8113/41/19/194004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that there exists a geometric quotient of the subscheme of stable points of Gr(C((z))(circle plus r)) under the action of S1( r, C). The consequences in terms of vector bundles on an algebraic curve are studied.

引用

页数：10

共 50 条

[1] Stability on the Sato Grassmannian.: Applications to the moduli of vector bundles
Casimiro, A. C.
Porras, J. M. Munoz
Martin, F. J. Plaza
JOURNAL OF GEOMETRY AND PHYSICS, 2008, 58 (03) : 402 - 421
[2] Vector fields on the Sato Grassmannian
Martín, FJP
COLLECTANEA MATHEMATICA, 2005, 56 (03) : 265 - 274
[3] INVOLUTIONS ON THE AFFINE GRASSMANNIAN AND MODULI SPACES OF PRINCIPAL BUNDLES
Henderson, Anthony
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2018, 13 (01): : 43 - 97
[4] QUOTIENTS OF DOUBLE VECTOR BUNDLES AND MULTIGRADED BUNDLES
Meinrenken, Eckhard
JOURNAL OF GEOMETRIC MECHANICS, 2022, 14 (02): : 307 - 329
[5] ON MODULI OF VECTOR-BUNDLES
KOBAYASHI, S
LECTURE NOTES IN MATHEMATICS, 1990, 1422 : 45 - 57
[6] The moduli of reducible vector bundles
He, YH
Ovrut, BA
Reinbacher, R
JOURNAL OF HIGH ENERGY PHYSICS, 2004, (03):
[7] Moduli of toric vector bundles
Payne, Sam
COMPOSITIO MATHEMATICA, 2008, 144 (05) : 1199 - 1213
[8] MONADS AND MODULI OF VECTOR BUNDLES
BARTH, W
HULEK, K
MANUSCRIPTA MATHEMATICA, 1978, 25 (04) : 323 - 347
[9] Open quotients of trivial vector bundles
Resende, Pedro
Santos, Joao Paulo
TOPOLOGY AND ITS APPLICATIONS, 2017, 224 : 19 - 47
[10] The vector k-constrained KP hierarchy and Sato's Grassmannian
vandeLeur, J
JOURNAL OF GEOMETRY AND PHYSICS, 1997, 23 (01) : 83 - 96

← 1 2 3 4 5 →