The Minimal Genus Problem A Quarter Century of Progress

被引：0

作者：

Dorfmeister, Josef G. ^{[1
]}

Li, Tian-Jun ^{[2
]}

机构：

[1] North Dakota State Univ, Dept Math, Fargo, ND 58102 USA

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

ACTA MATHEMATICA SCIENTIA | 2022年 / 42卷 / 06期

基金：

美国国家科学基金会;

关键词：

four manifolds; minimal genus; adjunction-type inequality; circle sum; HOMOLOGY CLASSES; DIFFEOMORPHISM-GROUPS; EMBEDDED SURFACES; 4-MANIFOLDS; INEQUALITIES; GENERA; BOUNDS; CP2;

D O I：

10.1007/s10473-022-0604-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper gives a survey of the progress on the minimal genus problem since Lawson's [26] survey.

引用

页码：2257 / 2278

页数：22

共 20 条

[1] The minimal genus problemA quarter century of progress
Josef G. Dorfmeister
Tian-Jun Li
Acta Mathematica Scientia, 2022, 42 : 2257 - 2278
[2] The minimal genus problem for elliptic surfaces
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ISRAEL JOURNAL OF MATHEMATICS, 2014, 200 (01) : 127 - 140
[3] The minimal genus problem in ruled manifolds
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[4] The minimal genus problem for right angled Artin groups
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Kastenholz, Thorben
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GEOMETRIAE DEDICATA, 2023, 217 (05)
[5] The minimal genus problem for right angled Artin groups
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Geometriae Dedicata, 2023, 217
[6] A Furuta-like inequality for spin orbifolds and the minimal genus problem
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[7] The minimal genus problem in CP2 # CP2
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[8] The minimal genus problem in rational surfaces CP2#nCP2
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[9] Minimal genus and simplified classes in rational manifolds
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[10] The minimal genus problem in rational surfaces CP2#n(CP2)over-bar
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Gao Hongzhu
Qiu Huaidong
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (09): : 1275 - 1283

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