Suppose that K and K' are knots inside the homology spheres Y and Y', respectively. Let X = Y (K, K') be the 3-manifold obtained by splicing the complements of K and K' and Z be the three-manifold obtained by 0 surgery on K. When Y' is an L-space, we use the splicing formula of [1] to show that the rank of
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[1]
Eaman Eftekhary . Bordered Floer homology and existence of incompressible tori in homology spheres. Compos. Math., 154(6):1222–1268, 2018.
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Eaman Eftekhary . Floer homology and splicing knot complements. Algebr. Geom. Topol., 15(6):3155–3213, 2015.
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Jonathan Hanselman, Jacob Rasmussen and Liam Watson . Bordered Floer homology for manifolds with torus boundary via immersed curves. preprint, available at arXiv:1604.03466.
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Matthew Hedden and Adam Simon Levine . Splicing knot complements and bordered Floer homology. J. Reine Angew. Math., 720:129–154, 2016.
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Jennifer Hom, Adam Simon Levine and Tye Lidman Knot concordance in homology cobordisms. arXiv:1801.07770, 2018.
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Çăgri Karakurt and Tye Lidman . Rank inequalities for the Heegaard Floer homology of Seifert homology spheres. Trans. Amer. Math. Soc., 367(10):7291–7322, 2015.
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Peter Ozsváth and Zoltán Szabó . Holomorphic disks and topological invariants for closed three-manifolds. Ann. of Math. (2), 159(3):1027–1158, 2004.
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Peter S. Ozsváth and Zoltán Szabó . Knot Floer homology and integer surgeries. Algebr. Geom. Topol., 8(1):101–153, 2008.
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Katherine Raoux . s-invariants for knots in rational homology spheres. arXiv:1611.09415, 2016.
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Shicheng Wang , Non-zero degree maps between 3-manifolds. Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 457–468, Higher Ed. Press, Beijing, 2002.
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STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
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| 2021 | |
|---|---|
| Web of Science | |
| Total Cites WoS |
589 |
| Journal Impact Factor | 0,739 |
| Rank by Impact Factor | Mathematics 229/332 |
| Impact Factor without Journal Self Cites |
0,710 |
| 5 Year Impact Factor |
0,654 |
| Journal Citation Indicator | 0,57 |
| Rank by Journal Citation Indicator | Mathematics 287/474 |
| Scimago | |
| Scimago H-index |
26 |
| Scimago Journal Rank |
0,265 |
| Scimago Quartile Score | Mathematics (miscellaneous) (Q3) |
| Scopus | |
| Scopus Cite Score |
1,3 |
| Scopus CIte Score Rank |
General Mathematics 193/391 (Q2) |
| Scopus SNIP |
0,746 |
| 2020 | |
| Total Cites | 536 |
| WoS | |
| Journal Impact Factor |
0,855 |
| Rank by | Mathematics 189/330 (Q3) |
| Impact Factor | |
| Impact Factor | 0,826 |
| without | |
| Journal Self Cites | |
| 5 Year | 1,703 |
| Impact Factor | |
| Journal | 0,68 |
| Citation Indicator | |
| Rank by Journal | Mathematics 230/470 (Q2) |
| Citation Indicator | |
| Citable | 32 |
| Items | |
| Total | 32 |
| Articles | |
| Total | 0 |
| Reviews | |
| Scimago | 24 |
| H-index | |
| Scimago | 0,307 |
| Journal Rank | |
| Scimago | Mathematics (miscellaneous) Q3 |
| Quartile Score | |
| Scopus | 139/130=1,1 |
| Scite Score | |
| Scopus | General Mathematics 204/378 (Q3) |
| Scite Score Rank | |
| Scopus | 1,069 |
| SNIP | |
| Days from | 85 |
| submission | |
| to acceptance | |
| Days from | 123 |
| acceptance | |
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| Acceptance | 16% |
| Rate |
| 2019 | |
|---|---|
| Total Cites WoS |
463 |
| Impact Factor | 0,468 |
| Impact Factor without Journal Self Cites |
0,468 |
| 5 Year Impact Factor |
0,413 |
| Immediacy Index |
0,135 |
| Citable Items |
37 |
| Total Articles |
37 |
| Total Reviews |
0 |
| Cited Half-Life |
21,4 |
| Citing Half-Life |
15,5 |
| Eigenfactor Score |
0,00039 |
| Article Influence Score |
0,196 |
| % Articles in Citable Items |
100,00 |
| Normalized Eigenfactor |
0,04841 |
| Average IF Percentile |
13,117 |
| Scimago H-index |
23 |
| Scimago Journal Rank |
0,234 |
| Scopus Scite Score |
76/104=0,7 |
| Scopus Scite Score Rank |
General Mathematics 247/368 (Q3) |
| Scopus SNIP |
0,671 |
| Acceptance Rate |
14% |
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