# Legendrian satellites and decomposable cobordisms

@article{Guadagni2021LegendrianSA, title={Legendrian satellites and decomposable cobordisms}, author={Roberta Guadagni and Joshua M. Sabloff and Matthew Yacavone}, journal={Journal of Knot Theory and Its Ramifications}, year={2021} }

. We investigate the interactions between the Legendrian satellite construction and the existence of exact, orientable Lagrangian cobordisms between Legendrian knots. Given Lagrangian cobordisms between two Legendrian knots and between two Legendrian tangles, we construct a Lagrangian cobordism between Legendrian satellites of the knots by the closures of the tangles, with extra twists on both the top and the bottom satellite to compensate for the genus of the cobordism. If the original…

## One Citation

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Lagrangian cobordisms between Legendrian knots arise in Symplectic Field Theory and impose an interesting and not well-understood relation on Legendrian knots. There are some known “elementary”…

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