Link concordance invariants and homotopy theory.

T.D. Cochran

Displaying similar documents to “Link concordance invariants and homotopy theory.”

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Kent E. Orr (1989)

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Link maps and the geometry of their invariants.

Ulrich Koschorke (1988)

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Kulish, P.P., Nikitin, A.M. (2000)

Zapiski Nauchnykh Seminarov POMI

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Link invariants from finite racks

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.