References
- I. Diamantis, The Kauffman bracket skein module of the complement of (2, 2p+ 1)-torus knots via braids, arXiv:2106.04965v1 [math.GT].
- I. Diamantis, An alternative basis for the Kauffman bracket skein module of the solid torus via braids, in Knots, low-dimensional topology and applications, 329-345, Springer Proc. Math. Stat., 284, Springer, Cham, 2019. https://doi.org/10.1007/978-3-030-16031-9_16
- I. Diamantis, The Kauffman bracket skein module of the handlebody of genus 2 via braids, J. Knot Theory Ramifications 28 (2019), no. 13, 1940020, 19 pp. https://doi.org/10.1142/S0218216519400200
- I. Diamantis, Tied links in various topological settings, J. Knot Theory Ramifications 30 (2021), no. 7, Paper No. 2150046, 26 pp. https://doi.org/10.1142/S0218216521500462
- I. Diamantis, Tied pseudo links & pseudo knotoids, Mediterr. J. Math. 2021 (2021), 18:201 https://doi.org/10.1007/s00009-021-01842-1
- I. Diamantis, Pseudo links in handlebodies, Bull. Hellenic Math. Soc. 65 (2021), 17-34.
- I. Diamantis, HOMFLYPT skein sub-modules of the lens spaces L(p, 1), Topology Appl. 301 (2021), Paper No. 107500, 25 pp. https://doi.org/10.1016/j.topol.2020.107500
- I. Diamantis, Pseudo links and singular links in the Solid Torus, to appear, Communications in Mathematics; arXiv:2101.03538v1 [math.GT].
- I. Diamantis and S. Lambropoulou, Braid equivalences in 3-manifolds with rational surgery description, Topology Appl. 194 (2015), 269-295. https://doi.org/10.1016/j.topol.2015.08.009
- I. Diamantis and S. Lambropoulou, A new basis for the Homflypt skein module of the solid torus, J. Pure Appl. Algebra 220 (2016), no. 2, 577-605. https://doi.org/10.1016/j.jpaa.2015.06.014
- I. Diamantis and S. Lambropoulou, The braid approach to the HOMFLYPT skein module of the lens spaces L(p, 1), in Algebraic modeling of topological and computational structures and applications, 143-176, Springer Proc. Math. Stat., 219, Springer, Cham, 2017. https://doi.org/10.1007/978-3-319-68103-0_7
- I. Diamantis and S. Lambropoulou, An important step for the computation of the HOMFLYPT skein module of the lens spaces L(p, 1) via braids, J. Knot Theory Ramifications 28 (2019), no. 11, 1940007, 25 pp. https://doi.org/10.1142/S0218216519400078
- I. Diamantis, S. Lambropoulou, and J. H. Przytycki, Topological steps toward the Homflypt skein module of the lens spaces L(p, 1) via braids, J. Knot Theory Ramifications 25 (2016), no. 14, 1650084, 26 pp. https://doi.org/10.1142/S021821651650084X
- J. Dorier, D. Goundaroulis, F. Benedetti, and A. Stasiak, Knotoid: a tool to study the entanglement of open protein chains using the concept of knotoids, Bioinformatics 34 (2018), no. 19, 3402-3404. https://doi.org/10.1093/bioinformatics/bty365
- H. A. Dye, Pseudo knots and an obstruction to cosmetic crossings, J. Knot Theory Ramifications 26 (2017), no. 4, 1750022, 7 pp. https://doi.org/10.1142/S0218216517500225
- D. Goundaroulis, N. Gugumcu, S. Lambropoulou, J. Dorier, A. Stasiak, and L. Kauffman, Topological models for open-knotted protein chains using the concepts of knotoids and bonded knotoids, Polymers 9 (2017), no. 9, 444. https://doi.org/10.3390/polym9090444
- N. Gugumcu and S. Lambropoulou, Knotoids, braidoids and applications, Symmetry 9 (2017), no. 12, 315. https://doi.org/10.3390/sym9120315
- N. Gugumcu and S. Lambropoulou, Braidoids, Israel J. Math., to appear: arXiv:1908.06053v2.
- R. Hanaki, Pseudo diagrams of knots, links and spatial graphs, Osaka J. Math. 47 (2010), no. 3, 863-883. http://projecteuclid.org/euclid.ojm/1285334478
- R. Haring-Oldenburg and S. Lambropoulou, Knot theory in handlebodies, J. Knot Theory Ramifications 6 (2002), no. 6, 921-943.
- A. Henrich, R. Hoberg, S. Jablan, L. Johnson, E. Minten, and L. Radovi'c, The theory of pseudoknots, J. Knot Theory Ramifications 22 (2013), no. 7, 1350032, 21 pp. https://doi.org/10.1142/S0218216513500326
- L. H. Kauffman, New invariants in the theory of knots, Amer. Math. Monthly 95 (1988), no. 3, 195-242. https://doi.org/10.2307/2323625
- L. H. Kauffman and S. Lambropoulou, Virtual braids and the L-move, J. Knot Theory Ramifications 15 (2006), no. 6, 773-811.
- S. Lambropoulou, Solid torus links and Hecke algebras of B-type, Quantum Topology; D. N. Yetter Ed.; World Scientific Press, 225-245, 1994.
- S. Lambropoulou, L-moves and Markov theorems, J. Knot Theory Ramifications 16 (2007), no. 10, 1459-1468. https://doi.org/10.1142/S0218216507005919
- S. Lambropoulou and C. P. Rourke, Markov's theorem in 3-manifolds, Topology Appl. 78 (1997), no. 1-2, 95-122. https://doi.org/10.1016/S0166-8641(96)00151-4
- J. H. Przytycki, Skein modules of 3-manifolds, Bull. Polish Acad. Sci. Math. 39 (1991), no. 1-2, 91-100.
- V. Turaev, The Conway and Kauffman modules of the solid torus, J. Soviet Math. 52 (1990), no. 1, 2799-2805; translated from Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 167 (1988), Issled. Topol. 6, 79-89, 190. https://doi.org/10.1007/BF01099241
- V. Turaev, Knotoids, Osaka J. Math. 49 (2012), no. 1, 195-223. http://projecteuclid.org/euclid.ojm/1332337244