scholarly journals Link concordance, homology cobordism, and Hirzebruch-type defects from iterated p-covers

2010 ◽  
pp. 555-610 ◽  
Author(s):  
Jae Choon Cha
Keyword(s):  
Link Concordance ◽  
Homology Cobordism

scholarly journals THE EFFECT OF MUTATION ON LINK CONCORDANCE, 3-MANIFOLDS, AND THE MILNOR INVARIANTS

2006 ◽  
Vol 15 (02) ◽  
pp. 239-257 ◽  
Author(s):  
JAE CHOON CHA
Keyword(s):  
Massey Products ◽  
Link Concordance ◽  
Homology Cobordism ◽  
Milnor Invariants

We study the effect of mutation on link concordance and 3-manifolds. We show that the set of links concordant to sublinks of homology boundary links is not closed under positive mutation. We also show that mutation does not preserve homology cobordism classes of 3-manifolds. A significant consequence is that there exist 3-manifolds which have the same quantum SU(2) -invariants but are not homology cobordant. These results are obtained by investigating the effect of mutation on the Milnor [Formula: see text]-invariants, or equivalently the Massey products.

scholarly journals Twisted torsion invariants and link concordance

2011 ◽  
pp. --- ◽  
Author(s):  
Jae Choon Cha ◽  
Stefan Friedl
Keyword(s):  
Link Concordance

Link concordance and algebraic closure, II

1989 ◽  
Vol 96 (3) ◽  
pp. 571-592 ◽  
Author(s):  
J. P. Levine
Keyword(s):  
Algebraic Closure ◽  
Link Concordance

scholarly journals LINEAR INDEPENDENCE IN THE RATIONAL HOMOLOGY COBORDISM GROUP

2019 ◽  
pp. 1-12 ◽  
Author(s):  
Marco Golla ◽  
Kyle Larson
Keyword(s):  
Infinite Order ◽  
Double Cover ◽  
Rational Homology ◽  
Cobordism Group ◽  
Connected Sums ◽  
Knot Concordance ◽  
Linearly Independent ◽  
Rational Homology Spheres ◽  
Homology Cobordism ◽  
Correction Terms

We give simple homological conditions for a rational homology 3-sphere $Y$ to have infinite order in the rational homology cobordism group $\unicode[STIX]{x1D6E9}_{\mathbb{Q}}^{3}$ , and for a collection of rational homology spheres to be linearly independent. These translate immediately to statements about knot concordance when $Y$ is the branched double cover of a knot, recovering some results of Livingston and Naik. The statements depend only on the homology groups of the 3-manifolds, but are proven through an analysis of correction terms and their behavior under connected sums.

HOMOLOGY COBORDISM AND GENERALIZATIONS OF MILNOR'S INVARIANTS

1999 ◽  
Vol 08 (04) ◽  
pp. 429-436 ◽  
Author(s):  
Tim D Cochran ◽  
Kent E Orr
Keyword(s):  
Homology Cobordism

Signature invariants of links from irregular covers and non-abelian covers

1999 ◽  
Vol 127 (1) ◽  
pp. 67-81 ◽  
Author(s):  
JAE CHOON CHA ◽  
KI HYOUNG KO
Keyword(s):  
Link Concordance ◽  
Abelian Covers

Signature invariants of odd dimensional links from irregular covers and non-abelian covers of complements are obtained by using the technique of Casson and Gordon. We show that the invariants vanish for slice links and can be considered as invariants under Fm-link concordance. We illustrate examples of links that are not slice but behave as slice links for any invariants from abelian covers.

On Link Concordance and Milnor's μ Invariants

1998 ◽  
Vol 30 (4) ◽  
pp. 419-428 ◽  
Author(s):  
Nathan Habegger ◽  
Xiao-Song Lin
Keyword(s):  
Link Concordance

scholarly journals Hidden torsion, 3-manifolds, and homology cobordism

2013 ◽  
Vol 6 (2) ◽  
pp. 490-512 ◽  
Author(s):  
Jae Choon Cha ◽  
Kent E. Orr
Keyword(s):  
Homology Cobordism

scholarly journals Homology cobordism and Seifert fibered $3$-manifolds

2014 ◽  
Vol 142 (11) ◽  
pp. 4015-4024 ◽  
Author(s):  
Tim D. Cochran ◽  
Daniel Tanner
Keyword(s):  
Homology Cobordism
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