36 citations · 103 across the 21 of their papers we have counts for
19 papers · 1 filter
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 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…
Transfer and the Spectrum-Level Siegel-Sullivan KO-Orientation for Singular Spaces
Markus Banagl
Integrally oriented normally nonsingular maps between singular spaces have associated transfer homomorphisms on KO-homology at odd primes. We prove that such transfers preserve Sie…
The Uniqueness Theorem for Gysin Coherent Characteristic Classes of Singular Spaces
Markus Banagl, Dominik Wrazidlo
We establish a general computational scheme designed for a systematic computation of characteristic classes of singular complex algebraic varieties that satisfy a Gysin axiom in a…