Note on the Casson-Gordon invariant of a satellite knot

被引：1

作者：

Abchir, H

机构：

来源：

MANUSCRIPTA MATHEMATICA | 1996年 / 90卷 / 04期

关键词：

D O I：

10.1007/BF02568322

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish a relation between an appropriate version of the Casson-Gordon invariant of a satellite knot and those of its orbit and companion. We note that in some cases the contribution from the companion falls. This gives a may to construct algebraically but not smoothly slice knots.(1)

引用

页码：511 / 519

页数：9

共 50 条

[1] NOTE ON HOMOLOGY SURGERY AND THE CASSON-GORDON INVARIANT
AKBULUT, S
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1979, 85 (MAR) : 335 - 344
[2] THE CASSON-GORDON INVARIANT AND LINK CONCORDANCE
GILMER, P
LIVINGSTON, C
[J]. TOPOLOGY, 1992, 31 (03) : 475 - 492
[3] Filtration of the classical knot concordance group and Casson-Gordon invariants
Kim, T
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2004, 137 : 293 - 306
[4] THE CASSON-GORDON INVARIANTS IN HIGH-DIMENSIONAL KNOT-THEORY
RUBERMAN, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 306 (02) : 579 - 595
[5] DISCRIMINANTS OF CASSON-GORDON INVARIANTS
GILMER, P
LIVINGSTON, C
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1992, 112 : 127 - 139
[6] Polynomial splittings of Casson-Gordon invariants
Kim, SG
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2005, 138 : 59 - 78
[7] Properties of Casson-Gordon's rectangle condition
Kwon, Bo-Hyun
Lee, Jung Hoon
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2020, 29 (12)
[8] On boundary primitive manifolds and a theorem of Casson-Gordon
Moriah, Y
[J]. TOPOLOGY AND ITS APPLICATIONS, 2002, 125 (03) : 571 - 579
[9] On the Casson knot invariant
Polyak, M
Viro, O
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2001, 10 (05) : 711 - 738
[10] DOUBLY SLICE-KNOTS AND THE CASSON-GORDON INVARIANTS
RUBERMAN, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 279 (02) : 569 - 588

← 1 2 3 4 5 →