Contribution of noncommutative geometry to index theory on singular manifolds

Bertrand Monthubert

Banach Center Publications (2007)

  • Volume: 76, Issue: 1, page 221-237
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Bertrand Monthubert. "Contribution of noncommutative geometry to index theory on singular manifolds." Banach Center Publications 76.1 (2007): 221-237. <http://eudml.org/doc/282017>.

@article{BertrandMonthubert2007,
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.},
author = {Bertrand Monthubert},
journal = {Banach Center Publications},
keywords = {noncommutative geometry; index theory; manifolds with corners; groupoids; pseudodifferential calculus},
language = {eng},
number = {1},
pages = {221-237},
title = {Contribution of noncommutative geometry to index theory on singular manifolds},
url = {http://eudml.org/doc/282017},
volume = {76},
year = {2007},
}

TY - JOUR
AU - Bertrand Monthubert
TI - Contribution of noncommutative geometry to index theory on singular manifolds
JO - Banach Center Publications
PY - 2007
VL - 76
IS - 1
SP - 221
EP - 237
AB - 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.
LA - eng
KW - noncommutative geometry; index theory; manifolds with corners; groupoids; pseudodifferential calculus
UR - http://eudml.org/doc/282017
ER -

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