Some New Invariants of Links.
Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
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Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
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Teruhiko Soma (1981)
Inventiones mathematicae
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Michael H. Freedman (1988)
Inventiones mathematicae
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Bogusław Broda (1997)
Banach Center Publications
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An approach to construction of topological invariants of the Reshetikhin-Turaev-Witten type of 3- and 4-dimensional manifolds in the framework of SU(2) Chern-Simons gauge theory and its hidden (quantum) gauge symmetry is presented.
T.D. Cochran (1987)
Inventiones mathematicae
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V.G. Turaev (1988)
Inventiones mathematicae
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Xiao-Song Lin (1998)
Banach Center Publications
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Christian Blanchet (1998)
Banach Center Publications
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Sam Nelson (2014)
Fundamenta Mathematicae
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We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack's second rack cohomology satisfying a new degeneracy condition which reduces to the usual case for quandles.
George R. Kempf (1993)
Inventiones mathematicae
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Alexander B. Merkov (1999)
Publications de l'Institut Mathématique
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