On the tunnel number and the Morse-Novikov number of knots

被引：9

作者：

Pajitnov, Andrei ^{[1
]}

机构：

[1] Univ Nantes, Lab Math Jean Leray, Fac Sci, UMR 6629, F-44072 Nantes, France

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2010年 / 10卷 / 02期

关键词：

LINKS; ADDITIVITY; SUM;

D O I：

10.2140/agt.2010.10.627

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a link in S(3); denote by MN(L) the Morse-Novikov number of L and by t(L) the tunnel number of L. We prove that MN(L) <= 2t(L) and deduce several corollaries.

引用

页码：627 / 635

页数：9

共 26 条

[1]

Clark B., 1980, INT J MATH MATH SCI, V3, P583, DOI DOI 10.1155/S0161171280000440

[2] A GENERALIZED BRIDGE NUMBER FOR LINKS IN 3-MANIFOLDS [J].

DOLL, H .

MATHEMATISCHE ANNALEN, 1992, 294 (04) :701-717

[3]

GODA H, 1993, OSAKA J MATH, V30, P63

[4]

Goda H, 2005, OSAKA J MATH, V42, P557

[5]

GODA H, 2006, KNOTS EVERYTHING, V40, P35

[6] Dynamics of gradient flows in the half-transversal Morse theory [J].

Goda, Hiroshi ;

Pajitnov, Andrei V. .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2009, 85 (01) :6-10

[7]

HIRASAWA M, J KNOT THEO IN PRESS

[8] Some invariants of pretzel links [J].

Kim, Dongseok ;

Lee, Jaeun .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 75 (02) :253-271

[9]

Kobayashi T., 1994, J KNOT THEOR RAMIF, V3, P179, DOI [10.1142/S0218216594000137, DOI 10.1142/S0218216594000137]

[10]

Kobayashi T, 2006, J REINE ANGEW MATH, V592, P63

← 1 2 3 →