Mauricio's conjecture on lens-space connected-sum surgeries

Let KK be a knot in L(p,q)L(p,q), where L(p,q)S3,RP3L(p,q)\neq S^3,\mathbb{RP}^3, and suppose that the exterior of KK is irreducible.

Mauricio's conjecture. Surgery on KK never produces

L(p,q)#L(t,1).L(p,q)\#L(t,1).

This is presented as a consequence encompassed by the lens-space cabling conjecture. It concerns restrictions on non-prime surgeries for knots with irreducible exteriors in lens spaces other than S3S^3 and RP3\mathbb{RP}^3.

Sources & referencesView supporting material

Primary source

Kenneth L. Baker, “A Cabling Conjecture for Knots in Lens Spaces”, arXiv:1306.0596 (2013).

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