3 papers
math.SG2023
Adjacent Singularities, TQFTs, and Zariski's Multiplicity Conjecture
Shamuel Auyeung
We give a new proof of Zariski's multiplicity conjecture in the case of isolated hypersurface singularities; this was first proved by de Bobadilla-Pełka \cite{BobadillaPelka}. Our…
math.DG2022
On the algebra generated by
Shamuel Auyeung, Jin-Cheng Guu, Jiahao Hu
In this note, we determine the structure of the associative algebra generated by the differential operators that act on complex-value…
math.SG2021
Local Lagrangian Floer Homology of Quasi-Minimally Degenerate Intersections
Shamuel Auyeung
We define a broad class of local Lagrangian intersections which we call quasi-minimally degenerate (QMD) before developing techniques for studying their local Floer homology. In so…