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…