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math.DG2017★ 1 cited
The index formula for families of Dirac type operators on pseudomanifolds
Pierre Albin, Jesse Gell-Redman
We study families of Dirac-type operators, with compatible perturbations, associated to wedge metrics on stratified spaces. We define a closed domain and, under an assumption of in…
math.DG2013★ 17 cited
The Index of Dirac Operators on Incomplete Edge Spaces
Pierre Albin, Jesse Gell-Redman
We derive a formula for the index of a Dirac operator on a compact, even-dimensional incomplete edge space satisfying a "geometric Witt condition". We accomplish this by cutting of…
math.DG2012
Hodge cohomology of some foliated boundary and foliated cusp metrics
Jesse Gell-Redman, Frédéric Rochon
For fibred boundary and fibred cusp metrics, Hausel, Hunsicker, and Mazzeo identified the space of harmonic forms of fixed degree with the images of maps between intersection…