2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.SG2021
Legendrian Satellites and Decomposable Cobordisms
Roberta Guadagni, Joshua M. Sabloff, Matthew Yacavone
We investigate the interactions between the Legendrian satellite construction and the existence of exact, orientable Lagrangian cobordisms between Legendrian knots. Given Lagrangia…
math.GT2019★ 2 cited
Cluster Algebras and the HOMFLY Polynomial
Matthew Yacavone
Recently, it has been shown that the Jones polynomial, in [LS19], and the Alexander polynomial, in [NT18], of rational knots can be obtained by specializing -polynomials of clus…
math.SG2017★ 1 cited
Legendrian Satellites and Decomposable Concordances
Yanhan Liu, Joshua M. Sabloff, Matthew Yacavone +1
We investigate the ramifications of the Legendrian satellite construction on the relation of Lagrangian cobordism between Legendrian knots. Under a simple hypothesis, we construct…