Relations among tautological classes revisited

被引：13

作者：

Randal-Williams, Oscar ^{[1
]}

机构：

[1] Inst Matemat Fag, DK-2100 Copenhagen O, Denmark

来源：

ADVANCES IN MATHEMATICS | 2012年 / 231卷 / 3-4期

基金：

英国工程与自然科学研究理事会; 新加坡国家研究基金会; 欧洲研究理事会;

关键词：

Moduli spaces; Tautological algebra; MAPPING CLASS-GROUPS; JACOBIAN MANIFOLDS; STABILITY; FAMILIES; ALGEBRA; MODULI; RING;

D O I：

10.1016/j.aim.2012.07.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a simple generalisation of a theorem of Morita (1989) [10,11], which leads to a great number of relations among tautological classes on moduli spaces of Riemann surfaces. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1773 / 1785

页数：13

共 50 条

[41] RHETORIC AND STATISTICS - ANALYSIS OF RELATIONS AMONG CLASSES AND AMONG REGIONS
CASANOVA, PG
CAHIERS INTERNATIONAUX DE SOCIOLOGIE, 1968, 45 (JUL-D) : 67 - 80
[42] Chern classes of tautological sheaves on Hilbert schemes of points on surfaces
Lehn, M
INVENTIONES MATHEMATICAE, 1999, 136 (01) : 157 - 207
[43] Tautological classes on the moduli space of hyperelliptic curves with rational tails
Tavakol, Mehdi
JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (08) : 2040 - 2062
[44] TAUTOLOGICAL CLASSES ON MODULI SPACES OF HYPER-KAHLER MANIFOLDS
Bergeron, Nicolas
Li, Zhiyuan
DUKE MATHEMATICAL JOURNAL, 2019, 168 (07) : 1179 - 1230
[45] Frobenius manifolds near the discriminant and relations in the tautological ring
Janda, Felix
LETTERS IN MATHEMATICAL PHYSICS, 2018, 108 (07) : 1649 - 1675
[46] On the Tautological Property of Relative Gromov-Witten Classes and Applications
Chen, Bohui
Du, Cheng-Yong
RESULTS IN MATHEMATICS, 2025, 80 (02)
[47] Chern classes of tautological sheaves on Hilbert schemes of points on surfaces
Manfred Lehn
Inventiones mathematicae, 1999, 136 : 157 - 207
[48] NOTE ON TAUTOLOGICAL CLASSES OF MODULI OF K3 SURFACES
van der Geer, Gerard
Katsura, Toshiyuki
MOSCOW MATHEMATICAL JOURNAL, 2005, 5 (04) : 775 - 779
[49] TAUTOLOGICAL RELATIONS AND THE r-SPIN WITTEN CONJECTURE
Faber, Carel
Shadrin, Sergey
Zvonkine, Dimitri
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2010, 43 (04): : 621 - 658
[50] Frobenius manifolds near the discriminant and relations in the tautological ring
Felix Janda
Letters in Mathematical Physics, 2018, 108 : 1649 - 1675

← 1 2 3 4 5 →