Rational homology spheres and the four-ball genus of knots

被引:28
作者
Owens, B [1 ]
Strle, S [1 ]
机构
[1] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia
关键词
rational homology sphere; correction term; four-Ball genus; Montesinos link;
D O I
10.1016/j.aim.2004.12.007
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using the Heegaard Floer homology of Ozsvdth and Szabo we investigate obstructions to a rational homology sphere bounding a four-manifold with a definite intersection pairing. As an application we obtain new lower bounds for the four-ball genus of Montesinos links. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:196 / 216
页数:21
相关论文
共 21 条
[1]   GENUS AND FIBER CAPACITY OF MONTESINOS KNOTS [J].
BURDE, G .
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1984, 54 :199-226
[2]  
Burde G., 1985, Knots
[3]  
Casson A. J., 1986, A la Recherche de la Topologie Perdue, V62, P181
[4]  
Casson A. J., 1978, ALGEBR GEOM TOPOL, VXXXII, P39
[5]   RATIONAL HOMOLOGY COBORDISMS OF SPHERICAL SPACE-FORMS [J].
FINTUSHEL, R ;
STERN, R .
TOPOLOGY, 1987, 26 (03) :385-393
[6]   On the slice genus of links [J].
Florens, Vincent ;
Gilmer, Patrick M. .
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2003, 3 (02) :905-920
[7]  
Froyshov KA, 1996, MATH RES LETT, V3, P373
[8]  
Gompf R. E., 1999, GRAD STUD MATH, V20
[9]  
Hirzebruch F, 1971, Lecture Notes in Pure and Applied Mathematics, V4
[10]  
JONES BW, 1950, ARITHMETIC THEORY QU