A Survey on the Turaev Genus of Knots
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2014/12/01
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Journal
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Indian UGC (journal)
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Refrences37
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Citations10
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Abhijit Champanerkar
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Ilya Kofman
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1017/S0305004112000102 | 2012 | |||
| Surgery obstructions from Khovanov homology | Selecta Mathematica |
| 11 | 2012 |
| 10.1090/S0002-9939-2010-10698-6 | 2011 | |||
| 10.1017/S1446788712000055 | Journal of the Australian Mathematical Society |
| 2011 | |
| 10.4171/CMH/238 | Commentarii Mathematici Helvetici |
| 2011 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 8 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 8
is the most frequently represented among the references in this article. It primarily includes studies from Topology and Topology and its Applications. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Near extremal Khovanov homology of Turaev genus one links | Topology and its Applications |
| 2024 | |
| Adequate links in thickened surfaces and the generalized Tait conjectures | Algebraic & Geometric Topology |
| 2023 | |
| The upsilon invariant at 1 of 3–braid knots | Algebraic & Geometric Topology |
| 2 | 2023 |
| A note on thickness of knots | Open Book Series | 2022 | ||
Concordance Invariants and the Turaev Genus | International Mathematics Research Notices |
| 1 | 2021 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 6 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 3 |
The category
Science: Mathematics 6
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Alternating distances of knots and links and was published in 2015. The most recent citation comes from a 2024 study titled Near extremal Khovanov homology of Turaev genus one links. This article reached its peak citation in 2017, with 3 citations. It has been cited in 7 different journals. Among related journals, the Algebraic & Geometric Topology cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.