1 citations · 1 across the 11 of their papers we have counts for
12 papers
-Symplectic Manifolds and
Ahmad Reza Haj Saeedi Sadegh
We study the geometric quantization of -symplectic manifolds using the integrability of Lie algebroids. Using a groupoid index, we define a quantization for -symplectic m…
Fredholm -Filtration of Fredholm Groups
Ahmad Reza Haj Saaedi Sadegh, Jody Trout
In this short note, we show that some well-known filtrations of infinite dimensional groups of Fredholm operators associated to certain perturbation classes are, in fact, Fredholm…
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…
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…
The three-dimensional Seiberg-Witten equations for 3/2-spinors: a compactness theorem
Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen
The Rarita-Schwinger-Seiberg-Witten (RS-SW) equations are defined similarly to the classical Seiberg-Witten equations, where a geometric non-Dirac-type operator replaces the Dirac…
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…
Connes-Moscovici Residue Cocycle For Some Dirac-Type Operators
Ahmad Reza Haj Saeedi Sadegh, Yiannis Loizides, Jesus Sanchez
The residue cocycle associated to a suitable spectral triple is the key component of the Connes-Moscovici local index theorem in noncommutative geometry. We review the relationship…
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…
Relative-partitioned index theorem
Moin Karami, Mostafa E. Zadeh, Ahmad H. S. Sadegh
It seems that the index theory for non-compact spaces has found its ultimate formulation in realm of coarse spaces and -theory of related operator algebras. Relative and partiti…