Biquandle cohomology and state-sum invariants of links and surface-links
نویسندگان
چکیده
منابع مشابه
Skein Invariants of Links and Their State Sum Models
We present the new skein invariants of classical links, H[H], K[K] and D[D], based on the invariants of links, H, K and D, denoting the regular isotopy version of the Homflypt polynomial, the Kauffman polynomial and the Dubrovnik polynomial. The invariants are obtained by abstracting the skein relation of the corresponding invariant and making a new skein algorithm comprising two computational ...
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Let M be an oriented 3-dimensional manifold. By a result of Giroux [6] there is a one-to-one correspondence between open book decompositions of M (up to stabilization) and contact structures on M (up to isotopy). In [5] Etnyre and Ozbagci consider three invariants associated with a fixed contact structure defined in terms of all open book decompositions supporting it: (1) the support genus, whi...
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If M is the link of a complex normal surface singularity, then it carries a canonical contact structure ξcan, which can be identified from the topology of the 3–manifold M . We assume that M is a rational homology sphere. We compute the support genus, the binding number and the norm associated with the open books which support ξcan, provided that we restrict ourself to the case of (analytic) Mi...
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We introduce a notion of topological quandle. Given a topological quandle Q we associate to every classical link L in R an invariant JQ(L) which is a topological space (defined up to a homeomorphism). The space JQ(L) can be interpreted as a space of colourings of a diagram of the link L with colours from the quandle Q.
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2018
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216518430162