2024
DOI: 10.1112/topo.70008
|View full text |Cite
|
Sign up to set email alerts
|

Rank‐expanding satellites, Whitehead doubles, and Heegaard Floer homology

Irving Dai,
Matthew Hedden,
Abhishek Mallick
et al.

Abstract: We show that a large class of satellite operators are rank‐expanding; that is, they map some rank‐one subgroup of the concordance group onto an infinite linearly independent set. Our work constitutes the first systematic study of this property in the literature and partially affirms a conjecture of the second author and Pinzón‐Caicedo. More generally, we establish a Floer‐theoretic condition for a family of companion knots to have infinite‐rank image under satellites from this class. The methods we use are ame… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 50 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?