Geometry and analysis of Shimizu L-functions.
The values of 0 of Shimizu L-functions are realized as the signature defects of framed manifolds. This settles a conjecture of Hirzebruch [Hirzebruch, F. (1973) Enseign. Math. 19, 183-281] affirmatively. The proof employs the spectral theory of elliptic operators.
Atiyah
M F
MF
Mathematical Institute, Oxford University, Oxford, England.
Donnelly
H
H
Singer
I M
IM