scholarly journals HOMOLOGY COBORDISM AND TRIANGULATIONS

2019 ◽  
Author(s):  
CIPRIAN MANOLESCU
Keyword(s):  
Homology Cobordism

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

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

scholarly journals On homology cobordism and local equivalence between plumbed manifolds

2019 ◽  
Vol 23 (2) ◽  
pp. 865-924 ◽  
Author(s):  
Irving Dai ◽  
Matthew Stoffregen
Keyword(s):  
Homology Cobordism ◽  
Local Equivalence

Homology cobordism group of homology 3-spheres

1990 ◽  
Vol 100 (1) ◽  
pp. 339-355 ◽  
Author(s):  
Mikio Furuta
Keyword(s):  
Cobordism Group ◽  
Homology Cobordism
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