The transverse index theorem for proper cocompact actions of Lie groupoids

Authors
Publication date 2015
Journal Journal of Differential Geometry
Volume | Issue number 99 | 3
Pages (from-to) 443-472
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invariant elliptic differential operators and smooth groupoid cohomology classes. We prove a cohomological index formula for this pairing by applying the van Est map and algebraic index theory. Finally we discuss in examples the meaning of the index pairing and our index formula.
Document type Article
Language English
Published at http://projecteuclid.org/euclid.jdg/1424880982
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