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math.DG2025
The G-signature Theorem on Witt spaces
Markus Banagl, Eric Leichtnam, Paolo Piazza
Let G be a compact Lie group and let X be an oriented Witt G-pseudomanifold. Using intersection cohomology it is possible to define Sign(G,X) in R(G), the G-signature of X. Let g b…
math.DG2025
Smooth atlas stratified spaces, K-Homology Orientations, and Gysin maps
Pierre Albin, Markus Banagl, Paolo Piazza
We introduce smooth atlas stratified spaces. We show that this class is closed under cartesian products; consequently, it is possible to define fiber bundles of smooth atlas strati…