Abstract If M is an oriented 3-manifold, let S(M) denote the Homflypt skein module of M. We show that S(M1#M2) is isomorphic to S(M1) âŠ— S(M2) modulo torsion. In fact, we show that S(M1#M2) isâ€¦ (More)

Following the recent work by Chan [4] and Morton and Hadji [7] on the Homflypt polynomials of some generalized Hopf links, we investigate the Kauffman polynomials of generalized Hopf links. Byâ€¦ (More)

One of the open problems posed in [3] is: what is the minimal number k such that an open, flexible k-chain can interlock with a flexible 2-chain? In this paper, we establish the assumption behindâ€¦ (More)

Let k be an integral domain containing the invertible elements Î±, s and 1 sâˆ’s âˆ’1 . If M is an oriented 3-manifold, let K(M) denote the Kauffman skein module of M over k. Based on the work onâ€¦ (More)

Abstract. Let k be a subring of the field of rational functions in Î±, s which contains Î±, s. Let M be a compact oriented 3-manifold, and let K(M) denote the Kauffman skein module of M over k. Thenâ€¦ (More)

An open problem posed in [3] asked for the minimal k such that a flexible open k-chain can interlock with a flexible 2-chain. It was conjectured in [3] that the minimal k satisfies 6 â‰¤ k â‰¤ 11. In aâ€¦ (More)

The 2-bridge knots (or links) are a family of knots with bridge number 2. A 2bridge knot (link) has at most 2 components. Except for the knot 85, the first 25 knots in the Rolfsen Knot Table areâ€¦ (More)