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arXiv · 2002.06750

The alpha invariant of complete intersections

David Baraglia
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Abstract

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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David Baraglia. 2020-02-17. The alpha invariant of complete intersections. https://arxiv.org/abs/2002.06750

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