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THE SPHERICAL MODIFICATION ON SIMPLY-CONNECTED 4-MANIFOLD
- THE SPHERICAL MODIFICATION ON SIMPLY-CONNECTED 4-MANIFOLD
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- 대학원 수학과
- 이화여자대학교 대학원
- 본 논문에서는 Simply-connected인 4차원 다양체로부터 spherical modification 에 의해 만들어지는 새로운 다양체가 주어진 다양체와 S^(2)상의 어떤 S^(2)-번들과의 connected sum 임을 증명한다.;In this paper, we would like to prove that a manifold obtained by a spherical modification from a simply-connected 4-dimensional manifold is of the from N#T(k) for some k∈Z, up to diffeomorphism, where T(k) is a S^(2)-bundle over S^(2) with degree k reduction of S^(1)-bundle.
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