2016
DOI: 10.48550/arxiv.1609.09587
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Constructions of invariants for surface-links via link invariants and applications to the Kauffman bracket

Abstract: In this paper, we formulate a construction of ideal coset invariants for surface-links in 4-space using invariants for knots and links in 3-space. We apply the construction to the Kauffman bracket polynomial invariant and obtain an invariant for surface-links called the Kauffman bracket ideal coset invariant of surface-links. We also define a series of new invariants {K 2n−1 (L)|n = 2, 3, 4, . . .} for surface-links L defined by skein relations, which are more effective than the Kauffman bracket ideal coset in… Show more

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