A combinatorial spanning tree model for knot Floer homology
Publication
, Journal Article
Baldwin, JA; Levine, AS
Published in: Advances in Mathematics
October 1, 2012
We iterate Manolescu's unoriented skein exact triangle in knot Floer homology with coefficients in the field of rational functions over Z/2Z. The result is a spectral sequence which converges to a stabilized version of δ-graded knot Floer homology. The (E 2, d 2) page of this spectral sequence is an algorithmically computable chain complex expressed in terms of spanning trees, and we show that there are no higher differentials. This gives the first combinatorial spanning tree model for knot Floer homology. © 2012 Elsevier Ltd.
Duke Scholars
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
October 1, 2012
Volume
231
Issue
3-4
Start / End Page
1886 / 1939
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Baldwin, J. A., & Levine, A. S. (2012). A combinatorial spanning tree model for knot Floer homology. Advances in Mathematics, 231(3–4), 1886–1939. https://doi.org/10.1016/j.aim.2012.06.006
Baldwin, J. A., and A. S. Levine. “A combinatorial spanning tree model for knot Floer homology.” Advances in Mathematics 231, no. 3–4 (October 1, 2012): 1886–1939. https://doi.org/10.1016/j.aim.2012.06.006.
Baldwin JA, Levine AS. A combinatorial spanning tree model for knot Floer homology. Advances in Mathematics. 2012 Oct 1;231(3–4):1886–939.
Baldwin, J. A., and A. S. Levine. “A combinatorial spanning tree model for knot Floer homology.” Advances in Mathematics, vol. 231, no. 3–4, Oct. 2012, pp. 1886–939. Scopus, doi:10.1016/j.aim.2012.06.006.
Baldwin JA, Levine AS. A combinatorial spanning tree model for knot Floer homology. Advances in Mathematics. 2012 Oct 1;231(3–4):1886–1939.
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
October 1, 2012
Volume
231
Issue
3-4
Start / End Page
1886 / 1939
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics