ON THE TOPOLOGICAL 4-GENUS OF TORUS KNOTS

被引：10

作者：

Baader, S. ^{[1
]}

Feller, P. ^{[2
,3
]}

Lewark, L. ^{[1
]}

Liechti, L. ^{[1
]}

机构：

[1] Univ Bern, Math Inst, Sidlerstr 5, CH-3012 Bern, Switzerland

[2] Boston Coll, Dept Math, Maloney Hall, Chestnut Hill, MA 02467 USA

[3] Swiss Fed Inst Technol, Ramistr 101, CH-8092 Zurich, Switzerland

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

LOCALLY-FLAT SURFACES; PROJECTIVE PLANE; SIGNATURE; GENUS; LINKS;

D O I：

10.1090/tran/7051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible linear estimate of the topological slice genus for torus knots with non-maximal signature invariant.

引用

页码：2639 / 2656

页数：18

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