Lefschetz fibration structures of symplectic fillings of quotient surface singularities

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Lefschetz fibration structures of symplectic fillings of quotient surface singularities

수리과학부 0 982
구분 학위 논문 심사
일정 2017-12-08(금) 16:00~17:00
세미나실 27동 220호
강연자 최학호 (서울대학교 수리과학부)
담당교수 박종일
기타
The link of quotient surface singularities admit natural contact structure, so called Milnor fillable contact structure. On the other hand, it is known that every minimal symplectic fillings of a quotient surface singularity is diffeomorphic to one of its Milnor fibers. Since Milnor fiber has a natural Stein structure, there is a corresponding PALF structure on each minimal symplectic fillings. In this talk we give an algorithm for explicit PALF structures on minimal symplectic fillings and show that they are related by a sequence of rational blow downs.

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