Bardakov, Valeriy; Chuzhinov, Bogdan; Emel’yanenkov, Ivan; Ivanov, Maxim; Markhinina, Elizaveta; Nasybullov, Timur; Panov, Sergey; Singh, Nina; Vasyutkin, Sergey; Yakhin, Valeriy; Vesnin, Andrei Representations of flat virtual braids which do not preserve the forbidden relations. (English) Zbl 07814189 J. Knot Theory Ramifications 32, No. 14, Article ID 2350093, 27 p. (2023). MSC: 57K12 20F36 20F29 PDFBibTeX XMLCite \textit{V. Bardakov} et al., J. Knot Theory Ramifications 32, No. 14, Article ID 2350093, 27 p. (2023; Zbl 07814189) Full Text: DOI arXiv
Ali, Danish; Yang, Zhiqing; Hussain, Abid; Ali, Muqadar The Gordian complexes of knots given by 4-move. (English) Zbl 1516.57002 J. Knot Theory Ramifications 32, No. 5, Article ID 2350034, 10 p. (2023). MSC: 57K10 57K14 PDFBibTeX XMLCite \textit{D. Ali} et al., J. Knot Theory Ramifications 32, No. 5, Article ID 2350034, 10 p. (2023; Zbl 1516.57002) Full Text: DOI
Nikonov, Igor Intersection formulas for parities on virtual knots. (English) Zbl 1522.57027 J. Knot Theory Ramifications 32, No. 5, Article ID 2350033, 56 p. (2023). Reviewer: Myeong-Ju Jeong (Busan) MSC: 57K12 PDFBibTeX XMLCite \textit{I. Nikonov}, J. Knot Theory Ramifications 32, No. 5, Article ID 2350033, 56 p. (2023; Zbl 1522.57027) Full Text: DOI arXiv
Cisneros, Bruno; Flores, Marcelo; Juyumaya, Jesús; Roque-Márquez, Christopher An Alexander-type invariant for doodles. (English) Zbl 1515.57013 J. Knot Theory Ramifications 31, No. 13, Article ID 2250090, 38 p. (2022). Reviewer: Ioannis Diamantis (Maastricht) MSC: 57K14 57K12 20F36 PDFBibTeX XMLCite \textit{B. Cisneros} et al., J. Knot Theory Ramifications 31, No. 13, Article ID 2250090, 38 p. (2022; Zbl 1515.57013) Full Text: DOI arXiv
Nikkuni, R. Capturing links in spatial complete graphs. (English) Zbl 1497.57032 J. Knot Theory Ramifications 31, No. 3, Article ID 2250022, 12 p. (2022). Reviewer: Andrei Vesnin (Novosibirsk) MSC: 57M15 57K10 PDFBibTeX XMLCite \textit{R. Nikkuni}, J. Knot Theory Ramifications 31, No. 3, Article ID 2250022, 12 p. (2022; Zbl 1497.57032) Full Text: DOI arXiv
Gao, Yaru; Li, Fengling; Liang, Liang; Lei, Fengchun Weakly reducible \(H^\prime\)-splittings of \(3\)-manifolds. (English) Zbl 1485.57015 J. Knot Theory Ramifications 30, No. 10, Article ID 2140004, 9 p. (2021). Reviewer: Junhua Wang (Shanghai) MSC: 57K30 PDFBibTeX XMLCite \textit{Y. Gao} et al., J. Knot Theory Ramifications 30, No. 10, Article ID 2140004, 9 p. (2021; Zbl 1485.57015) Full Text: DOI
Ivanov, Maxim Connected sum of virtual knots and \(\boldsymbol{F} \)-polynomials. (English) Zbl 1486.57017 J. Knot Theory Ramifications 30, No. 10, Article ID 2140002, 14 p. (2021). Reviewer: Zhiyun Cheng (Beijing) MSC: 57K12 PDFBibTeX XMLCite \textit{M. Ivanov}, J. Knot Theory Ramifications 30, No. 10, Article ID 2140002, 14 p. (2021; Zbl 1486.57017) Full Text: DOI
Mednykh, A. D.; Vuong, B. On hyperelliptic Euclidean \(3\)-manifolds. (English) Zbl 1515.57026 J. Knot Theory Ramifications 30, No. 10, Article ID 2140001, 8 p. (2021). MSC: 57M50 57M12 57K10 57K30 PDFBibTeX XMLCite \textit{A. D. Mednykh} and \textit{B. Vuong}, J. Knot Theory Ramifications 30, No. 10, Article ID 2140001, 8 p. (2021; Zbl 1515.57026) Full Text: DOI
Joshi, Sahil; Prabhakar, Madeti The Gordian complex of theta-curves. (English) Zbl 1486.57010 J. Knot Theory Ramifications 30, No. 8, Article ID 2150050, 11 p. (2021). Reviewer: Leonid Plachta (Kraków) MSC: 57K10 05C10 PDFBibTeX XMLCite \textit{S. Joshi} and \textit{M. Prabhakar}, J. Knot Theory Ramifications 30, No. 8, Article ID 2150050, 11 p. (2021; Zbl 1486.57010) Full Text: DOI
Chen, Xing; Zhao, Xuezhi Normal forms in braid groups with respect to some Gröbner-Shirshov basis. (English) Zbl 1486.20045 J. Knot Theory Ramifications 29, No. 13, Article ID 2043005, 10 p. (2020). MSC: 20F36 16S15 PDFBibTeX XMLCite \textit{X. Chen} and \textit{X. Zhao}, J. Knot Theory Ramifications 29, No. 13, Article ID 2043005, 10 p. (2020; Zbl 1486.20045) Full Text: DOI
Cheng, Zhiyun; Fedoseev, Denis A.; Gao, Hongzhu; Manturov, Vassily O.; Xu, Mengjian From chord parity to chord index. (English) Zbl 1459.57016 J. Knot Theory Ramifications 29, No. 13, Article ID 2043004, 26 p. (2020). MSC: 57K12 57-02 PDFBibTeX XMLCite \textit{Z. Cheng} et al., J. Knot Theory Ramifications 29, No. 13, Article ID 2043004, 26 p. (2020; Zbl 1459.57016) Full Text: DOI
Gill, Amrendra; Prabhakar, Madeti; Vesnin, Andrei Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves. (English) Zbl 1458.57005 J. Knot Theory Ramifications 29, No. 10, Article ID 2042008, 24 p. (2020). MSC: 57K10 57K12 PDFBibTeX XMLCite \textit{A. Gill} et al., J. Knot Theory Ramifications 29, No. 10, Article ID 2042008, 24 p. (2020; Zbl 1458.57005) Full Text: DOI arXiv
Naik, Tushar K.; Nanda, Neha; Singh, Mahender Some remarks on twin groups. (English) Zbl 1508.20046 J. Knot Theory Ramifications 29, No. 10, Article ID 2042006, 14 p. (2020). MSC: 20F55 57K10 20E45 PDFBibTeX XMLCite \textit{T. K. Naik} et al., J. Knot Theory Ramifications 29, No. 10, Article ID 2042006, 14 p. (2020; Zbl 1508.20046) Full Text: DOI arXiv
Cheng, Zhiyun; Gao, Hongzhu; Xu, Mengjian Some remarks on the chord index. (English) Zbl 1464.57010 J. Knot Theory Ramifications 29, No. 10, Article ID 2042003, 25 p. (2020). MSC: 57K12 PDFBibTeX XMLCite \textit{Z. Cheng} et al., J. Knot Theory Ramifications 29, No. 10, Article ID 2042003, 25 p. (2020; Zbl 1464.57010) Full Text: DOI arXiv
Ivanov, Maxim; Vesnin, Andrei \(F\)-polynomials of tabulated virtual knots. (English) Zbl 1447.57009 J. Knot Theory Ramifications 29, No. 8, Article ID 2050054, 17 p. (2020). MSC: 57K12 57K14 PDFBibTeX XMLCite \textit{M. Ivanov} and \textit{A. Vesnin}, J. Knot Theory Ramifications 29, No. 8, Article ID 2050054, 17 p. (2020; Zbl 1447.57009) Full Text: DOI arXiv
Mostovoy, Jacob; Roque-Márquez, Christopher Planar pure braids on six strands. (English) Zbl 1512.20120 J. Knot Theory Ramifications 29, No. 1, Article ID 1950097, 11 p. (2020). MSC: 20F36 20F05 57M07 57K10 PDFBibTeX XMLCite \textit{J. Mostovoy} and \textit{C. Roque-Márquez}, J. Knot Theory Ramifications 29, No. 1, Article ID 1950097, 11 p. (2020; Zbl 1512.20120) Full Text: DOI arXiv
Ba, Idrissa \(L\)-spaces, left-orderability and two-bridge knots. (English) Zbl 1422.57009 J. Knot Theory Ramifications 28, No. 3, Article ID 1950019, 38 p. (2019). Reviewer: Wolfgang Heil (Tallahassee) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{I. Ba}, J. Knot Theory Ramifications 28, No. 3, Article ID 1950019, 38 p. (2019; Zbl 1422.57009) Full Text: DOI arXiv
Abrosimov, Nikolay; Vuong, Bao The volume of a compact hyperbolic antiprism. (English) Zbl 1405.52013 J. Knot Theory Ramifications 27, No. 13, Article ID 1842010, 12 p. (2018). MSC: 52B15 51M20 51M25 51M10 51F15 PDFBibTeX XMLCite \textit{N. Abrosimov} and \textit{B. Vuong}, J. Knot Theory Ramifications 27, No. 13, Article ID 1842010, 12 p. (2018; Zbl 1405.52013) Full Text: DOI arXiv
Li, Miaowang; Lei, Fengchun; Li, Fengling; Vesnin, Andrei The Yamada polynomial of spatial graphs obtained by edge replacements. (English) Zbl 1401.57004 J. Knot Theory Ramifications 27, No. 9, Article ID 1842004, 19 p. (2018). MSC: 57M15 05C31 PDFBibTeX XMLCite \textit{M. Li} et al., J. Knot Theory Ramifications 27, No. 9, Article ID 1842004, 19 p. (2018; Zbl 1401.57004) Full Text: DOI arXiv
Ham, Ji-Young; Lee, Joongul; Mednykh, Alexander; Rasskazov, Aleksei On the volume and Chern-Simons invariant for 2-bridge knot orbifolds. (English) Zbl 1382.57004 J. Knot Theory Ramifications 26, No. 12, Article ID 1750082, 22 p. (2017). Reviewer: Jean Raimbault (Toulouse) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{J.-Y. Ham} et al., J. Knot Theory Ramifications 26, No. 12, Article ID 1750082, 22 p. (2017; Zbl 1382.57004) Full Text: DOI
Przytycki, Józef H. On Slavik Jablan’s work on 4-moves. (English) Zbl 1353.57017 J. Knot Theory Ramifications 25, No. 9, Article ID 1641014, 26 p. (2016). Reviewer: Kenneth A. Perko jun. (New York) MSC: 57M27 PDFBibTeX XMLCite \textit{J. H. Przytycki}, J. Knot Theory Ramifications 25, No. 9, Article ID 1641014, 26 p. (2016; Zbl 1353.57017) Full Text: DOI arXiv
Ham, Ji-Young; Lee, Joongul The volume of hyperbolic cone-manifolds of the knot with Conway’s notation \(C(2n,3)\). (English) Zbl 1341.57002 J. Knot Theory Ramifications 25, No. 6, Article ID 1650030, 9 p. (2016). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{J.-Y. Ham} and \textit{J. Lee}, J. Knot Theory Ramifications 25, No. 6, Article ID 1650030, 9 p. (2016; Zbl 1341.57002) Full Text: DOI arXiv
Fominykh, Evgeny; Wiest, Bert Upper bounds for the complexity of torus knot complements. (English) Zbl 1290.57003 J. Knot Theory Ramifications 22, No. 10, Article ID 1350053, 19 p. (2013). Reviewer: Maria Rita Casali (Modena) MSC: 57M20 57M25 57M50 PDFBibTeX XMLCite \textit{E. Fominykh} and \textit{B. Wiest}, J. Knot Theory Ramifications 22, No. 10, Article ID 1350053, 19 p. (2013; Zbl 1290.57003) Full Text: DOI arXiv
Casali, Maria Rita; Cristofori, Paola Computing Matveev’s complexity via crystallization theory: the boundary case. (English) Zbl 1284.57013 J. Knot Theory Ramifications 22, No. 8, Article ID 1350038, 30 p. (2013). Reviewer: Andrei Vesnin (Novosibirsk) MSC: 57M27 57M15 57M25 PDFBibTeX XMLCite \textit{M. R. Casali} and \textit{P. Cristofori}, J. Knot Theory Ramifications 22, No. 8, Article ID 1350038, 30 p. (2013; Zbl 1284.57013) Full Text: DOI arXiv
Bellingeri, P.; Cattabriga, A. Hilden braid groups. (English) Zbl 1245.57007 J. Knot Theory Ramifications 21, No. 3, Article ID 1250029, 22 p. (2012). Reviewer: Luisa Paoluzzi (Marseille) MSC: 57M25 20F36 PDFBibTeX XMLCite \textit{P. Bellingeri} and \textit{A. Cattabriga}, J. Knot Theory Ramifications 21, No. 3, Article ID 1250029, 22 p. (2012; Zbl 1245.57007) Full Text: DOI arXiv
Koda, Yuya Links and spines. (English) Zbl 1237.57012 J. Knot Theory Ramifications 21, No. 3, Article ID 1250027, 27 p. (2012). Reviewer: Jonathan A. Hillman (Sydney) MSC: 57M27 57M20 57M50 PDFBibTeX XMLCite \textit{Y. Koda}, J. Knot Theory Ramifications 21, No. 3, Article ID 1250027, 27 p. (2012; Zbl 1237.57012) Full Text: DOI
Dabkowski, Mieczysław K.; Ishiwata, Makiko; Przytycki, Józef H. Rational moves on links: \((2,2)\)-moves as a case study. (English) Zbl 1197.57006 J. Knot Theory Ramifications 19, No. 6, 783-797 (2010). Reviewer: Ayumu Inoue (Tokyo) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{M. K. Dabkowski} et al., J. Knot Theory Ramifications 19, No. 6, 783--797 (2010; Zbl 1197.57006) Full Text: DOI
Pervova, Ekaterina; Petronio, Carlo Complexity of links in 3-manifolds. (English) Zbl 1184.57011 J. Knot Theory Ramifications 18, No. 10, 1439-1458 (2009). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57M27 57M25 57M20 PDFBibTeX XMLCite \textit{E. Pervova} and \textit{C. Petronio}, J. Knot Theory Ramifications 18, No. 10, 1439--1458 (2009; Zbl 1184.57011) Full Text: DOI arXiv
Cavicchioli, Alberto; Paoluzzi, Luisa; Spaggiari, Fulvia On the classification of Kim and Kostrikin manifolds. (English) Zbl 1151.57016 J. Knot Theory Ramifications 15, No. 5, 549-569 (2006). MSC: 57M50 57M12 57M60 57N10 PDFBibTeX XMLCite \textit{A. Cavicchioli} et al., J. Knot Theory Ramifications 15, No. 5, 549--569 (2006; Zbl 1151.57016) Full Text: DOI
Cavicchioli, Alberto; Repovš, Dušan; Spaggiari, Fulvia Topological properties of cyclically presented groups. (English) Zbl 1031.57002 J. Knot Theory Ramifications 12, No. 2, 243-268 (2003). Reviewer: Luisa Paoluzzi (Dijon) MSC: 57M12 57M50 57N10 20F34 57M05 57R65 PDFBibTeX XMLCite \textit{A. Cavicchioli} et al., J. Knot Theory Ramifications 12, No. 2, 243--268 (2003; Zbl 1031.57002) Full Text: DOI
Szczepański, Andrzej; Vesnin, Andrei HNN extension of cyclically presented groups. (English) Zbl 1011.20026 J. Knot Theory Ramifications 10, No. 8, 1269-1279 (2001). Reviewer: Bruno Zimmermann (Trieste) MSC: 20E06 57M07 20F34 20F65 57Q45 20F05 PDFBibTeX XMLCite \textit{A. Szczepański} and \textit{A. Vesnin}, J. Knot Theory Ramifications 10, No. 8, 1269--1279 (2001; Zbl 1011.20026) Full Text: DOI