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Legendrian rational unknots in lens spaces (1302.3792v1)

Published 15 Feb 2013 in math.SG and math.GT

Abstract: We classify Legendrian rational unknots with tight complements in the lens spaces L(p,1) up to coarse equivalence. As an example of the general case, this classification is also worked out for L(5,2). The knots are described explicitly in a contact surgery diagram of the corresponding lens space.

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