On sufficiency of the definition of MCQ Alexander pairs in terms of invariants for handlebody-knots
Author:
Funder
Japan Society for the Promotion of Science
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s13366-022-00652-0.pdf
Reference17 articles.
1. Alexander, J.W.: Topological invariants of knots and links. Trans. Amer. Math. Soc. 30(2), 275–306 (1928). https://doi.org/10.2307/1989123
2. Andruskiewitsch, N., Graña, M.: From racks to pointed Hopf algebras. Adv. Math. 178(2), 177–243 (2003). https://doi.org/10.1016/S0001-8708(02)00071-3
3. Carter, J.S., Jelsovsky, D., Kamada, S., Langford, L., Saito, M.: Quandle cohomology and state-sum invariants of knotted curves and surfaces. Trans. Amer. Math. Soc. 355(10), 3947–3989 (2003). https://doi.org/10.1090/S0002-9947-03-03046-0
4. Carter, S., Ishii, A., Saito, M., Tanaka, K.: Homology for quandles with partial group operations. Pacific J. Math. 287(1), 19–48 (2017). https://doi.org/10.2140/pjm.2017.287.19
5. Ishii, A.: Moves and invariants for knotted handlebodies. Algebr. Geom. Topol. 8(3), 1403–1418 (2008). https://doi.org/10.2140/agt.2008.8.1403
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