5 papers
On Deformation Spaces, Tangent Groupoids and Generalized Filtrations of Banach and Fredholm Manifolds
Ahmad Reza Haj Saeedi Sadegh, Jody Trout
We extend the deformation to the normal cone and tangent groupoid constructions from finite-dimensional manifolds to infinite-dimensional Banach and Fredholm manifolds. Next, we ge…
A gluing formula for the -valued index of odd symmetric operators
Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh, Junrong Yan
We investigate Dirac-type operator on involutive manifolds with boundary with symmetry, which forces the index of to vanish. We study the secondary -valued index of el…
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 -spinors on a closed 3-manifold is equivalent to the existence of `3/2-Fueter sections'…
The Z_2-valued spectral flow of a symmetric family of Toeplitz operators
Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh
We consider families of self-adjoint operators with symmetry that causes the spectral flow of the family to vanish. We study the secondary -valued spectral flo…
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…