JournalsowrVol. 8 , No. 4DOI 10.4171/owr/2011/56

Stratified Spaces: Joining Analysis, Topology and Geometry

  • Markus Banagl

    Universität Heidelberg, Germany
  • Ulrich Bunke

    Universität Regensburg, Germany
  • Shmuel Weinberger

    University of Chicago, United States
Stratified Spaces: Joining Analysis, Topology and Geometry cover

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Abstract

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.