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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…
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…
A Fueter Operator for 3/2-spinors
Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen, Jesus Sanchez
We show the non-compactness of the moduli space of solutions with a uniform bound on the curvatures of the monopole equations for -spinors on a closed 3-manifold is equivalent…
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…
Deformation Spaces, Rescaled Bundles and the Kirillov Character Formula
Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh
In this paper, we construct a smooth vector bundle over the deformation to the normal cone through a rescaling of a vector bundle , which generalizes the…
Euler-like vector fields, deformation spaces and manifolds with filtered structure
Ahmad Reza Haj Saeedi Sadegh, Nigel Higson
The first purpose of this note is to comment on a recent article of Bursztyn, Lima and Meinrenken, in which it is proved that if M is a smooth submanifold of a manifold V, then the…