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 Kei modules and unoriented link invariants


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We define invariants of unoriented knots and links by enhancing the integral kei counting invariant Phi X^Z K for a finite kei X using representations of the kei algebra, Z KX, a quotient of the quandle algebra ZX defined by Andruskiewitsch and Grana. We give an example that demonstrates that the enhanced invariant is stronger than the unenhanced kei counting invariant. As an application, we use a quandle module over the Takasaki kei on Z 3 which is not a Z KX-module to detect the non-invertibility of a virtual knot.



Author: Mike Grier; Sam Nelson

Source: https://archive.org/







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