Polynomial Relations Among Kappa Classes on the Moduli Space of Curves

被引：5

作者：

Kazarian, Maxim ^{[1
,2
]}

Norbury, Paul ^{[3
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Fac Math, Usacheva 6, Moscow 119048, Russia

[2] Skoltech, Ctr Adv Studies, Nobelya 1, Moscow 143026, Russia

[3] Univ Melbourne, Sch Math & Stat, Parkville, Vic 3010, Australia

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

TOPOLOGICAL RECURSION; INTERSECTION THEORY; EXTERNAL-FIELD; INVARIANTS;

D O I：

10.1093/imrn/rnad061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an infinite collection of universal-independent of (g, n)-polynomials in the Miller-Morita-Mumford classes ?(m) ? H-2m((M)overbar(g,n),Q), defined over the moduli space of genus g stable curves with n labeled points. We conjecture vanishing of these polynomials in a range depending on g and n.

引用

页码：1825 / 1867

页数：43

共 39 条

[1] Moduli of twisted spin curves
Abramovich, D
Jarvis, TJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (03) : 685 - 699
[2] Ramifications of Hurwitz theory, KP integrability and quantum curves
Alexandrov, A.
Lewanski, D.
Shadrin, S.
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2016, (05):
[3] Arbarello E., 1996, J. Algebraic Geom., V5, P705
[4] THE EXTERNAL-FIELD PROBLEM IN THE LARGE N LIMIT OF QCD
BREZIN, E
GROSS, DJ
[J]. PHYSICS LETTERS B, 1980, 97 (01) : 120 - 124
[5] Bychkov B., J L COLE POLYTECHNIQ, V9, P1121
[6] Chaudhuri A., 2021, J ALGEBRAIC COMB, V53, P1
[7] Topological recursion with hard edges
Chekhov, Leonid
Norbury, Paul
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, 30 (03)
[8] Chidambaram N., ARXIV
[9] Delecroix V., ARXIV
[10] Do N., 2016, ZAPISKI NAUCHNYKH SE, V446

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