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math.FA2025
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…
math.DG2025
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…