论文标题

完整交叉点的α不变

The alpha invariant of complete intersections

论文作者

Baraglia, David

论文摘要

我们计算任何光滑的复合型旋转旋转完整尺寸$ 1 \; ({\ rm mod} \; 4)$。我们证明,α不变性仅取决于总学位和蓬蒂拉金类。我们的发现与长期存在的猜想一致,通常称为沙利文的猜想,该猜想指出,两个具有相同维度的完整相交,总学位,pontryagin和Euler类是不同的。

We compute the alpha invariant of any smooth complex projective spin complete intersection of complex dimension $1 \; ({\rm mod} \; 4)$. We prove that the alpha invariant depends only on the total degree and Pontryagin classes. Our findings are consistent with a long-standing conjecture, often called the Sullivan Conjecture, which states that two complete intersections with the same dimensions, total degrees, Pontryagin and Euler classes are diffeomorphic.

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