
Shamon AlmeidaUniversity of Kelaniya · Department of Mathematics
Shamon Almeida
Doctor of Philosophy
Senior Lecturer (Grade II)
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Publications (5)
This paper resolves the problem of comparing the skein modules defined using the skein relations discovered by Melvin and Kirby that underlie the quantum group-based Reshetikhin–Turaev model for SU(2) Chern-Simons theory to the Kauffman bracket skein modules. Several applications and examples are presented.
Keywords: Kauffman bracket; Jones polyno...
In Topological graph theory, the maximum genus of graphs has been a fascinating subject. For a simple connected graph G, the maximum genus γM(G) is the largest genus of an orientable surface on which G has a 2-cell embedding. γM(G) has the upper bound, γM(G)≤[β/2], where β(G) denotes the Betti number and G is said to be upper embeddable if the equa...
Knot polynomials are polynomials associated with knot projections, capturing essential knot properties that remain unchanged through ambient isotopy. In simple terms, if a knot 𝐾 possesses an invariant 𝛼, this invariant, it remains consistent across all its projections. In this research, we delve into the concept of knot polynomials and elucidate t...
This paper resolves the problem of comparing the skein modules defined using the skein relations discovered by R. Kirby and P. Melvin that underlie the Reshetikhin-Turaev model for $SU(2)$ Chern-Simons theory to the Kauffman bracket skein modules. Several applications and examples are presented.