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Published online: 2012-07-25
Stratified Spaces: Joining Analysis, Topology and GeometryMarkus Banagl, Ulrich Bunke and Shmuel Weinberger (1) Universität Heidelberg, Germany
(2) Universität Regensburg, Germany
(3) University of Chicago, United States
For manifolds, topological properties such as Poincaré duality and invariants such as the signature and characteristic classes, results and techniques from complex algebraic geometry such as the Hirzebruch-Riemann-Roch theorem, and results from global analysis such as the Atiyah-Singer index theorem, worked hand in hand in the past to weave a tight web of knowledge. Individually, many of the above results are in the meantime available for singular stratified spaces as well. The 2011 Oberwolfach workshop “Stratified Spaces: Joining Analysis, Topology and Geometry” discussed these with the specific aim of cross-fertilization in the three contributing fields.
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Banagl Markus, Bunke Ulrich, Weinberger Shmuel: Stratified Spaces: Joining Analysis, Topology and Geometry. Oberwolfach Rep. 8 (2011), 3217-3286. doi: 10.4171/OWR/2011/56