INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
BANACH CENTER
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ISSN: 0137-6934(p) 1730-6299(e)
Contribution of noncommutative geometry to index theory on singular manifolds
Bertrand Monthubert1 Banach Center Publ. 76 (2007), 221-237
Abstract: This survey of the work of the author with several collaborators presents the way groupoids appear and can be used in index
theory. We define the general tools, and apply them to the case of
manifolds with corners, ending with a topological index theorem.
MSC (2000): Primary 58B34; Secondary 35S05.
Institut de Mathématiques de Toulouse Université P. Sabatier 118 route de Narbonne F-31062 Toulouse Cedex 9, France