Splicing knot complements and bordered floer homology
Publication
, Journal Article
Hedden, M; Levine, AS
Published in: Journal fur die Reine und Angewandte Mathematik
November 1, 2016
We show that the integer homology sphere obtained by splicing two nontrivial knot complements in integer homology sphere L-spaces has Heegaard Floer homology of rank strictly greater than one. In particular, splicing the complements of nontrivial knots in the 3-sphere never produces an L-space. The proof uses bordered Floer homology.
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Published In
Journal fur die Reine und Angewandte Mathematik
DOI
EISSN
1435-5345
ISSN
0075-4102
Publication Date
November 1, 2016
Volume
2016
Issue
720
Start / End Page
129 / 154
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
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Hedden, M., & Levine, A. S. (2016). Splicing knot complements and bordered floer homology. Journal Fur Die Reine Und Angewandte Mathematik, 2016(720), 129–154. https://doi.org/10.1515/crelle-2014-0064
Hedden, M., and A. S. Levine. “Splicing knot complements and bordered floer homology.” Journal Fur Die Reine Und Angewandte Mathematik 2016, no. 720 (November 1, 2016): 129–54. https://doi.org/10.1515/crelle-2014-0064.
Hedden M, Levine AS. Splicing knot complements and bordered floer homology. Journal fur die Reine und Angewandte Mathematik. 2016 Nov 1;2016(720):129–54.
Hedden, M., and A. S. Levine. “Splicing knot complements and bordered floer homology.” Journal Fur Die Reine Und Angewandte Mathematik, vol. 2016, no. 720, Nov. 2016, pp. 129–54. Scopus, doi:10.1515/crelle-2014-0064.
Hedden M, Levine AS. Splicing knot complements and bordered floer homology. Journal fur die Reine und Angewandte Mathematik. 2016 Nov 1;2016(720):129–154.
Published In
Journal fur die Reine und Angewandte Mathematik
DOI
EISSN
1435-5345
ISSN
0075-4102
Publication Date
November 1, 2016
Volume
2016
Issue
720
Start / End Page
129 / 154
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics