Knot doubling operators and bordered heegaard floer homology
Publication
, Journal Article
Levine, AS
Published in: Journal of Topology
January 1, 2012
We use bordered Heegaard Floer homology to compute the τ invariant of a family of satellite knots obtained via twisted infection along two components of the Borromean rings, a generalization of Whitehead doubling. We show that τ of the resulting knot depends only on the two twisting parameters and the values of τ for the two companion knots. We also include some notes on bordered Heegaard Floer homology that may serve as a useful introduction to the subject. © 2012 London Mathematical Society.
Duke Scholars
Altmetric Attention Stats
Dimensions Citation Stats
Published In
Journal of Topology
DOI
EISSN
1753-8424
ISSN
1753-8416
Publication Date
January 1, 2012
Volume
5
Issue
3
Start / End Page
651 / 712
Related Subject Headings
- General Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Levine, A. S. (2012). Knot doubling operators and bordered heegaard floer homology. Journal of Topology, 5(3), 651–712. https://doi.org/10.1112/jtopol/jts021
Levine, A. S. “Knot doubling operators and bordered heegaard floer homology.” Journal of Topology 5, no. 3 (January 1, 2012): 651–712. https://doi.org/10.1112/jtopol/jts021.
Levine AS. Knot doubling operators and bordered heegaard floer homology. Journal of Topology. 2012 Jan 1;5(3):651–712.
Levine, A. S. “Knot doubling operators and bordered heegaard floer homology.” Journal of Topology, vol. 5, no. 3, Jan. 2012, pp. 651–712. Scopus, doi:10.1112/jtopol/jts021.
Levine AS. Knot doubling operators and bordered heegaard floer homology. Journal of Topology. 2012 Jan 1;5(3):651–712.
Published In
Journal of Topology
DOI
EISSN
1753-8424
ISSN
1753-8416
Publication Date
January 1, 2012
Volume
5
Issue
3
Start / End Page
651 / 712
Related Subject Headings
- General Mathematics
- 0101 Pure Mathematics