5 citations · 7 across the 5 of their papers we have counts for
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…
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…
Higher genera for proper actions of Lie groups, Part 2: the case of manifolds with boundary
Paolo Piazza, Hessel Posthuma
Let G be a finitely connected Lie group and let K be a maximal compact subgroup. Let M be a cocompact G-proper manifold with boundary, endowed with a G-invariant metric which is of…
Higher genera for proper actions of Lie groups
Paolo Piazza, Hessel Posthuma
Let G be a Lie group with finitely many connected components and let K be a maximal compact subgroup. We assume that G satisfies the rapid decay (RD) property and that G/K has non-…