Papers › Topologically Distinct Lagrangian and Symplectic Fillings
Topologically Distinct Lagrangian and Symplectic Fillings
Chang Cao, Nathaniel Gallup, Kyle Hayden, Joshua M. Sabloff
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We construct infinitely many Legendrian links in the standard contact ℝ³ with arbitrarily many topologically distinct Lagrangian fillings. The construction is used to find links in S³ that bound topologically distinct pieces of algebraic curves in B⁴ ⊂ℂ², is applied to find contact 3-manifolds with topologically distinct symplectic fillings, and is generalized to higher dimensions.
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