5 papers
Smooth atlas stratified spaces, K-Homology Orientations, and Gysin maps. Part 2
Pierre Albin, Markus Banagl, Paolo Piazza
In this Part 2 of our article we give a detailed discussion of the compatibility between the analytic Gysin maps we have defined in Part 1 and the topological Gysin maps defined by…
Equivariant L-Classes of Atiyah-Singer-Zagier Type for Singular Spaces
Markus Banagl
If a finite group acts on a rational homology manifold, then the orbit space is well-known to be a rational homology manifold again. We consider here actions on spaces that may…
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…
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…
The Equivariant L-Class of Pseudomanifolds
Markus Banagl
We construct an equivariant L-class for orientation preserving actions of a compact Lie group on a Whitney stratified compact oriented pseudomanifold that satisfies the Witt condit…