20.500.12556/RUL-175820 The Kauffman bracket skein module of bonded knots and applications to entangled proteins We model proteins with intramolecular bonds, such as disulfide bridges, using the concept of bonded knots-closed loops in three-dimensional space equipped with additional bonds that connect different segments of the knot. We extend the Kauffman bracket polynomial (which is closely related to the Jones polynomial) to bonded knots through the introduction of the bonded version of the Kauffman bracket skein module. We show that this module is infinitely generated and torsion-free for both the rigid and topological case of bonded knots. In the rigid case, evaluating a bonded knot in the basis of this module yields an bonded knot invariant closely related to the APS bracket and the Simplified RNA polynomial. bonded knots Kauffman bracket protein knots skein modules true false true Angleški jezik Slovenski jezik Članek v reviji 2025-11-10 10:16:48 2025-11-10 10:16:52 2025-12-19 04:44:46 0000-00-00 00:00:00 2025 0 0 16 str. iss. 5, art. e70123 Vol. 155 Nov. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.1 0022-2526 10.1111/sapm.70123 256501763 Stud_Appl_Math_-_2025_-_Gabrovsek_-_The_Kauffman_Bracket_Skein_Module_of_Bonded_Knots_and_Applications_to_Entangled.pdf Stud_Appl_Math_-_2025_-_Gabrovsek_-_The_Kauffman_Bracket_Skein_Module_of_Bonded_Knots_and_Applications_to_Entangled.pdf 1 3D29257223EEAD3347CC7F91A56083A1 ccbb517d67381609b59baa4f32961abf243bd2fcb9f8069bb7a13e9a2d156799 47b71143-dc12-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=224164 https://onlinelibrary.wiley.com/doi/10.1111/sapm.70123 1 ab26e499-be15-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=221700 Pedagoška fakulteta Fakulteta za matematiko in fiziko Fakulteta za strojništvo 0 0 0