Torus-Equivariant Chow Rings of Quiver Moduli

被引：1

作者：

Franzen, Hans ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Fak Math, Univ Str 150, D-44780 Bochum, Germany

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2020年 / 16卷

关键词：

torus actions; equivariant Chow rings; torus localization; quiver moduli; REPRESENTATIONS; LOCALIZATION; COHOMOLOGY;

D O I：

10.3842/SIGMA.2020.096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute rational equivariant Chow rings with respect to a torus of quiver moduli spaces. We derive a presentation in terms of generators and relations, use torus localization to identify it as a subring of the Chow ring of the fixed point locus, and we compare the two descriptions.

引用

页数：22

共 50 条

[1] On Chow Rings of Quiver Moduli
Belmans, Pieter
Franzen, Hans
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (13) : 10255 - 10272
[2] Chow rings of fine quiver moduli are tautologically presented
H. Franzen
[J]. Mathematische Zeitschrift, 2015, 279 : 1197 - 1223
[3] Chow rings of fine quiver moduli are tautologically presented
Franzen, H.
[J]. MATHEMATISCHE ZEITSCHRIFT, 2015, 279 (3-4) : 1197 - 1223
[4] The Torus-Equivariant Cohomology of Nilpotent Orbits
Crooks, Peter
[J]. JOURNAL OF LIE THEORY, 2015, 25 (04) : 1073 - 1087
[5] An algebraic model for rational torus-equivariant spectra
Greenlees, J. P. C.
Shipley, B.
[J]. JOURNAL OF TOPOLOGY, 2018, 11 (03) : 666 - 719
[6] Equivariant Chow groups for torus actions
M. Brion
[J]. Transformation Groups, 1997, 2 (3) : 225 - 267
[7] TORUS-EQUIVARIANT VECTOR-BUNDLES ON PROJECTIVE SPACES
KANEYAMA, T
[J]. NAGOYA MATHEMATICAL JOURNAL, 1988, 111 : 25 - 40
[8] Rational torus-equivariant stable homotopy III: Comparison of models
Greenlees, J. P. C.
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (11) : 3573 - 3609
[9] THE EQUIVARIANT CHOW RINGS OF QUOT SCHEMES
Braden, Tom
Chen, Linda
Sottile, Frank
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2008, 238 (02) : 201 - 232
[10] Computing torus-equivariant K-theory of singular varieties
Anderson, Dave
[J]. ALGEBRAIC GROUPS: STRUCTURE AND ACTIONS, 2017, 94 : 1 - 15

← 1 2 3 4 5 →