A. Fung

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20202026

most citedEvery Jordan curve inscribes uncountably many rhombi

3 citations · 3 across the 4 of their papers we have counts for

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math.GT2026

Minimum $b_{2}$ of symplectic fillings of lens spaces

Antony T. H. Fung

We classify lens spaces for which the canonical negative-definite plumbing has minimal $b_{2}$ 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 $L (p, q)$ for which every smooth negative-definite filling $X$ 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 $S^{3}$ , there are at most two integer surgeries that produce a lens sp…

Minimum b2​ of symplectic fillings of lens spaces

Forbidden configurations and definite fillings of lens spaces

Integer surgeries rational homology cobordant to lens spaces

Minimum $b_{2}$ of symplectic fillings of lens spaces