A. Sadegh

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math.DG2025

A gluing formula for the $Z_{2}$ -valued index of odd symmetric operators

Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh, Junrong Yan

We investigate Dirac-type operator $D$ on involutive manifolds with boundary with symmetry, which forces the index of $D$ to vanish. We study the secondary $Z_{2}$ -valued index of el…

math.DG2025

A Fueter operator for 3/2-spinors

Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen

We show the non-compactness of moduli space of solutions of the monopole equations for $3/2$ -spinors on a closed 3-manifold is equivalent to the existence of `3/2-Fueter sections'…

math.DG2025

The Z_2-valued spectral flow of a symmetric family of Toeplitz operators

Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh

We consider families $A (t)$ of self-adjoint operators with symmetry that causes the spectral flow of the family to vanish. We study the secondary $Z_{2}$ -valued spectral flo…

math.DG2024

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

Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh

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 sym…

A gluing formula for the Z2​-valued index of odd symmetric operators

A Fueter operator for 3/2-spinors

The Z_2-valued spectral flow of a symmetric family of Toeplitz operators

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

A gluing formula for the $Z_{2}$ -valued index of odd symmetric operators