SLICING KNOTS IN DEFINITE 4-MANIFOLDS

被引：0

作者：

Kjuchukova, Alexandra ^{[1
]}

Miller, Allison n. ^{[2
]}

Ray, Arunima ^{[3
]}

Sakalli, Sumeyra ^{[4
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[2] Swarthmore Coll, Dept Math & Stat, 500 Coll Ave, Swarthmore, PA 19081 USA

[3] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

[4] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 377卷 / 08期

关键词：

UNKNOTTING INFORMATION; FLOER HOMOLOGY; INVARIANT; RIBBON; SLICENESS; SURFACES; SPACES; DISKS;

D O I：

10.1090/tran/9151

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the CP2-slicing number of knots, i.e. the smallest m >= 0 such that a knot K subset of S3 bounds a properly embedded, null-homologous disk in a punctured connected sum (#mCP2)x. We find knots for which the smooth and topological CP2-slicing numbers are both finite, nonzero, and distinct. To do this, we give a lower bound on the smooth CP2-slicing number of a knot in terms of its double branched cover and an upper bound on the topological CP2-slicing number in terms of the Seifert form.

引用

页码：5905 / 5946

页数：42

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