25 citations · 114 across the 28 of their papers we have counts for
34 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…
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…
Sub-Riemannian limit of the differential form heat kernels of contact manifolds
Pierre Albin, Hadrian Quan
We study the behavior of the heat kernel of the Hodge Laplacian on a contact manifold endowed with a family of Riemannian metrics that blow-up the directions transverse to the cont…
Compactification of semi-simple Lie groups
Pierre Albin, Panagiotis Dimakis, Richard Melrose +1
We discuss the `hd-compactification' of a semi-simple Lie group to a manifold with corners; it is the real analog of the wonderful compactification of deConcini and Procesi. There…
Poincare-Lovelock metrics on conformally compact manifolds
Pierre Albin
An important tool in the study of conformal geometry, and the AdS/CFT correspondence in physics, is the Fefferman-Graham expansion of conformally compact Einstein metrics. We show…
Compactification of SL(2)
Pierre Albin, Panagiotis Dimakis, Richard Melrose
We discuss `hd-compactifications' of $\SL(2,\bbK)$ for $\bbK=\bbC$ or These are compact manifolds with boundary on which both the Schwartz and the Harish-Chandra Schwartz s…