Heegaard floer homology and concordance bounds on the Thurston norm
Publication
, Journal Article
Celoria, D; Golla, M; Levine, AS
Published in: Transactions of the American Mathematical Society
January 1, 2020
We prove that twisted correction terms in Heegaard Floer homology provide lower bounds on the Thurston norm of certain cohomology classes determined by the strong concordance class of a 2-component link L in S3. We then specialise this procedure to knots in S2 × S1 and obtain a lower bound on their geometric winding number. We then provide an infinite family of null-homologous knots with increasing geometric winding number on which the bound is sharp.
Duke Scholars
Published In
Transactions of the American Mathematical Society
DOI
EISSN
1088-6850
ISSN
0002-9947
Publication Date
January 1, 2020
Volume
373
Issue
1
Start / End Page
295 / 318
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Celoria, D., Golla, M., & Levine, A. S. (2020). Heegaard floer homology and concordance bounds on the Thurston norm. Transactions of the American Mathematical Society, 373(1), 295–318. https://doi.org/10.1090/tran/7906
Celoria, D., M. Golla, and A. S. Levine. “Heegaard floer homology and concordance bounds on the Thurston norm.” Transactions of the American Mathematical Society 373, no. 1 (January 1, 2020): 295–318. https://doi.org/10.1090/tran/7906.
Celoria D, Golla M, Levine AS. Heegaard floer homology and concordance bounds on the Thurston norm. Transactions of the American Mathematical Society. 2020 Jan 1;373(1):295–318.
Celoria, D., et al. “Heegaard floer homology and concordance bounds on the Thurston norm.” Transactions of the American Mathematical Society, vol. 373, no. 1, Jan. 2020, pp. 295–318. Scopus, doi:10.1090/tran/7906.
Celoria D, Golla M, Levine AS. Heegaard floer homology and concordance bounds on the Thurston norm. Transactions of the American Mathematical Society. 2020 Jan 1;373(1):295–318.
Published In
Transactions of the American Mathematical Society
DOI
EISSN
1088-6850
ISSN
0002-9947
Publication Date
January 1, 2020
Volume
373
Issue
1
Start / End Page
295 / 318
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics