Skein theory for the Links–Gould polynomial

Article Article scientifique Article Skein theory for the Links–Gould polynomial eng 2026-03-27 2026-04 author Garoufalidis Stavros International Center for Mathematics, Department of Mathematics Southern University of Science and Technology Shenzhen China author Harper Matthew Michigan State University East Lansing Michigan USA author Kashaev Rinat Mavlyavievich Section de Mathématiques Université de Genève Genève Switzerland 134600 Section de mathématiques (MATH) author Kohli Ben-Michael Miloud Section de Mathématiques Université de Genève Genève Switzerland 441297 Section de mathématiques (MATH) author Song Jiebo Beijing Institute of Mathematical Sciences and Applications Beijing China author Tahar Guillaume Beijing Institute of Mathematical Sciences and Applications Beijing China e70522 10.1112/jlms.70522 0024-6107 Building further on work of Marin and Wagner, we give a cubic braid‐type skein theory of the Links–Gould polynomial invariant of oriented links and prove that it can be used to evaluate any oriented link, adding this polynomial to the list of polynomial invariants that can be computed by skein theory. As a consequence, we prove that this skein theory is also shared by the ‐polynomial defined by two of the authors, deducing the equality of the two link polynomials. This implies the specialization properties of the ‐polynomial to the Alexander polynomial and to the ‐invariant, the fact that it is a Vassiliev power series invariant, as well as a Seifert genus bound for knots. Dewey 510 25 Section de mathématiques 11 false Journal of the London Mathematical Society 113 4 90b36ad2-afe2-4b8f-9324-9e289db75ab3 Article (Published version) Public Journal_of_London_Math_Soc_-_2026_-.pdf 605008 application/pdf CC BY-4.0 fc8fe6fdd9220a66a1dfb97b30ac3a80dea89188411ae565e60d8025c206139c openAccess Faculté des sciences / Section de mathématiques

Title	Published in	Access level	OA Policy	Year	Views	Downloads

Skein theory for the Links–Gould polynomial	Journal of the London Mathematical Society			2026	6	68

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Kohli, Ben-Michael Miloud