On the Z_2-valued index of elliptic odd symmetric operators on non-compact manifolds

Maxim Braverman; Ahmad Reza Haj Saeedi Sadegh

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arXiv · 2403.13999

On the Z_2-valued index of elliptic odd symmetric operators on non-compact manifolds

Maxim Braverman·Ahmad Reza Haj Saeedi Sadegh

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Abstract

We investigate elliptic operators with a symmetry that forces their index to vanish. We study the secondary index, defined modulo 2. We examine Callias-type operators with this symmetry on non-compact manifolds and establish mod 2 versions of the Gromov-Lawson relative index theorem, the Callias index theorem, and the Boutet de Monvel's index theorem for Toeplitz operators.

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Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh. 2024-12-04. On the Z_2-valued index of elliptic odd symmetric operators on non-compact manifolds. https://arxiv.org/abs/2403.13999

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