36 citations · 103 across the 21 of their papers we have counts for
26 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…
Link Bundles and Intersection Spaces of Complex Toric Varieties
Markus Banagl, Shahryar Ghaed Sharaf
There exist several homology theories for singular spaces that satisfy generalized Poincaré duality, including Goresky-MacPherson's intersection homology, Cheeger's cohomolog…