Symplectic fillings of quotient surface singularities and minimal model program J. Korean Math. Soc. Published online September 22, 2020 Hakho Choi, Heesang Park, and Dongsoo Shin Korea Institute for Advanced Study, Konkuk University, Chungnam National University Abstract : We prove that every minimal symplectic filling of the link of a quotient surface singularity can be obtained from its minimal resolution by applying a sequence of rational blow-downs and symplectic antiflips. We present an explicit algorithm inspired by the minimal model program for complex 3-dimensional algebraic varieties. Keywords : minimal model program, quotient surface singularity, rational blow-down, symplectic antiflip, symplectic filling MSC numbers : 57R40, 57R55, 14B07 Full-Text :