关于一类孤立超曲面奇点的 $\mu$-等价的辛方面
On symplectic aspects of $μ$-equivalence of a class of isolated hypersurface singularities
AI总结：
本文证明了孤立超曲面奇点在$\mu$-常数形变下保持Milnor纤维微分同胚类的辛版本，适用于加权齐次多项式奇点。
AI中文摘要：
维数不同于2的孤立复超曲面奇点的$\mu$-常数形变保持Milnor纤维的微分同胚类。如果已知$\mu$-常数形变没有O'Shea定义的消失折叠，则该结果在所有维数下均成立，因为族中的成员具有共同的Milnor球半径。本文证明了该结论的一个辛版本，该版本特别适用于加权齐次多项式奇点。
英文摘要：
A $μ$-constant deformation of isolated complex hypersurface singularities of dimensions different from 2 preserves the diffeomorphism class of the Milnor fiber. If it would be known that $μ$-constant deformations have no vanishing folds as defined in by O'Shea, this result is even true in all dimensions since the members in the family would have a common Milnor ball-radius. In this note a symplectic version of this is shown which in particular applies to weighted homogeneous polynomial singularities.
