A rational blowdown surgery on 4-manifolds
Báo cáo viên: Jongil Park (Seoul National University)

Thời gian: 9h, Thứ 5, ngày 18/10/2018

Địa điểm: Phòng 302 nhà A5, Viện Toán học.

Tóm tắt: Since gauge theory was introduced in 1982, people working on 4-manifolds have developed various techniques and surgeries and they have obtained many fruitful and remarkable results on 4-manifolds in last 35 years. Among them, a rational blowdown surgery technique initially introduced by R. Fintushel and R. Stern and later generalized by J. Park turned out to be one of the simple but powerful techniques to construct a new family of 4-manifolds.
In this talk, first I'd like to briefly review what we have obtained in 4-manifold topology by using a rational blowdown surgery. And then I'll explain in some details that any minimal symplectic filling of the link of a quotient surface singularity can be obtained by a sequence of rational blowdowns and blowing-ups from the minimal resolution the corresponding quotient surface singularity

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