The alpha invariant of complete intersections

Abstract

We compute the alpha invariant of any smooth complex projective spin complete intersection of complex dimension $1(\mathrm{mod}4)$. 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.

24 pages

Cited by in corpus (2)

• The Hirzebruch genera of complete intersections
• Twisted Milnor Hypersurface I