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JOURNALS // Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika // Archive

Vestnik Chelyabinsk. Gos. Univ., 2015 Issue 17, Pages 118–134 (Mi vchgu9)

Geometry and Topology

On knots and links in lens spaces

M. Mulazzani, E. Manfredi

Department of Mathematics of University of Bologna, Bologna, Italy

Abstract: We shortly review some recent results about knots and links in lens spaces. A disk diagram is described together with a Reidemeister-type theorem concerning equivalence. The lift of knots/links in the $3$-sphere is discussed, showing examples of different knots and links having equivalent lift. The essentiality respect to the lift of classical invariants on knots/links in lens spaces is discussed.

Keywords: knot, link, lens space, lift, fundamental quandle, group of the link, twisted Alexander polynomial.

UDC: 515.163
BBK: B151.5

Language: English



© Steklov Math. Inst. of RAS, 2024