Strong L-spaces and left-orderability
Publication
, Journal Article
Levine, AS; Lewallen, S
Published in: Mathematical Research Letters
January 1, 2012
We introduce the notion of a strong L-space, a closed, oriented threemanifold admitting a Heegaard diagram whose associated Heegaard Floer complex has rank equal to the order of the first homology of the manifold. Examples of strong Lspaces include the branched double covers of alternating links in the three-sphere. We prove that the fundamental group of a strong L-space is not left-orderable. © 2012 International Press.
Duke Scholars
Published In
Mathematical Research Letters
DOI
EISSN
1945-001X
ISSN
1073-2780
Publication Date
January 1, 2012
Volume
19
Issue
6
Start / End Page
1237 / 1244
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Levine, A. S., & Lewallen, S. (2012). Strong L-spaces and left-orderability. Mathematical Research Letters, 19(6), 1237–1244. https://doi.org/10.4310/MRL.2012.v19.n6.a5
Levine, A. S., and S. Lewallen. “Strong L-spaces and left-orderability.” Mathematical Research Letters 19, no. 6 (January 1, 2012): 1237–44. https://doi.org/10.4310/MRL.2012.v19.n6.a5.
Levine AS, Lewallen S. Strong L-spaces and left-orderability. Mathematical Research Letters. 2012 Jan 1;19(6):1237–44.
Levine, A. S., and S. Lewallen. “Strong L-spaces and left-orderability.” Mathematical Research Letters, vol. 19, no. 6, Jan. 2012, pp. 1237–44. Scopus, doi:10.4310/MRL.2012.v19.n6.a5.
Levine AS, Lewallen S. Strong L-spaces and left-orderability. Mathematical Research Letters. 2012 Jan 1;19(6):1237–1244.
Published In
Mathematical Research Letters
DOI
EISSN
1945-001X
ISSN
1073-2780
Publication Date
January 1, 2012
Volume
19
Issue
6
Start / End Page
1237 / 1244
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics