Théorie de l'indice tordue pour des feuilletages

Paulo Carrillo Rouse; Bai Ling Wang

doi:10.1016/j.crma.2010.10.037

Théorie de l'indice tordue pour des feuilletages

Translated title of the contribution: Twisted index theory for foliations

Paulo Carrillo Rouse^*, Bai Ling Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

For any Lie groupoid with a twisting, we define an analytic index morphism using the Connes tangent groupoid. This morphism agrees with the one of the Lie groupoid when the twisting is trivial. We discuss a longitudinal index theorem, geometric cycles, push-forward maps and Baum-Connes assembly maps for foliations with a twisting on the space of leaves.

Translated title of the contribution	Twisted index theory for foliations
Original language	French
Pages (from-to)	1297-1301
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	348
Issue number	23-24
DOIs	https://doi.org/10.1016/j.crma.2010.10.037
Publication status	Published - Dec 2010

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10.1016/j.crma.2010.10.037

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title = "Th{\'e}orie de l'indice tordue pour des feuilletages",

abstract = "For any Lie groupoid with a twisting, we define an analytic index morphism using the Connes tangent groupoid. This morphism agrees with the one of the Lie groupoid when the twisting is trivial. We discuss a longitudinal index theorem, geometric cycles, push-forward maps and Baum-Connes assembly maps for foliations with a twisting on the space of leaves.",

author = "\{Carrillo Rouse\}, Paulo and Wang, \{Bai Ling\}",

year = "2010",

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doi = "10.1016/j.crma.2010.10.037",

language = "French",

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T1 - Théorie de l'indice tordue pour des feuilletages

AU - Carrillo Rouse, Paulo

AU - Wang, Bai Ling

PY - 2010/12

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N2 - For any Lie groupoid with a twisting, we define an analytic index morphism using the Connes tangent groupoid. This morphism agrees with the one of the Lie groupoid when the twisting is trivial. We discuss a longitudinal index theorem, geometric cycles, push-forward maps and Baum-Connes assembly maps for foliations with a twisting on the space of leaves.

AB - For any Lie groupoid with a twisting, we define an analytic index morphism using the Connes tangent groupoid. This morphism agrees with the one of the Lie groupoid when the twisting is trivial. We discuss a longitudinal index theorem, geometric cycles, push-forward maps and Baum-Connes assembly maps for foliations with a twisting on the space of leaves.

UR - https://www.scopus.com/pages/publications/78649963226

U2 - 10.1016/j.crma.2010.10.037

DO - 10.1016/j.crma.2010.10.037

M3 - Article

SN - 1631-073X

VL - 348

SP - 1297

EP - 1301

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 23-24

ER -

Théorie de l'indice tordue pour des feuilletages

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