Legendrian singular links and singular connected sums (1503.00818v2)

Published 3 Mar 2015 in math.GT and math.SG

Abstract: We study Legendrian singular links up to contact isotopy. Using a special property of the singular points, we define the singular connected sum of Legendrian singular links. This concept is a generalization of the connected sum and can be interpreted as a tangle replacement, which provides a way to classify Legendrian singular links. Moreover, we investigate several phenomena only occur in the Legendrian setup.

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