标题： 几乎辛爆破上的辛纤维丛 显示英文标题

标题： Almost toric fibrations on symplectic blow ups

摘要： 给定一个具有几乎环状纤维化的辛4-流形，以及一个辛球体嵌入，其在作用量映射下的像是包含在一个仿射凸集R中，我们构造了一个从几乎环状爆破到辛爆破的辛同构，该同构在R补集的预像上是恒等映射。此外，在球体嵌入与边界除子相容的条件下，我们证明可以选择一个保持诱导的辛对数规范除子的辛同构。 显示英文摘要

摘要： Given a symplectic 4-manifold with an almost toric fibration and a symplectic ball embedding whose image under the moment map is contained in an affine convex set R, we produce a symplectomorphism between the almost toric blow-up and the symplectic blow-up which is the identity on the pre-image of the complement of R. Furthermore, under a compatibility condition of the ball embedding with the boundary divisor, we show that the symplectomorphism can be chosen to preserve the induced symplectic log canonical divisors.