4 papers
math.GT2026
Minimum of symplectic fillings of lens spaces
Antony T. H. Fung
We classify lens spaces for which the canonical negative-definite plumbing has minimal among all symplectic fillings of the standard contact structure. The classification is…
math.GT2026
Forbidden configurations and definite fillings of lens spaces
Antony T. H. Fung, JungHwan Park
We study definite fillings of lens spaces. We classify the lens spaces for which every smooth negative-definite filling satisfies \[ b_2(X)\ge b_2(X(p,q))-1, \] where…
math.GT2024
Integer surgeries rational homology cobordant to lens spaces
Antony T. H. Fung
The Cyclic Surgery Theorem and Moser's work on surgeries on torus knots imply that for any non-trivial knot in , there are at most two integer surgeries that produce a lens sp…
math.MG2020
Every Jordan curve inscribes uncountably many rhombi
Antony T. H. Fung
We prove that every Jordan curve in inscribes uncountably many rhombi. No regularity condition is assumed on the Jordan curve.