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Projects / Programmes source: ARIS

Algebraic invariants of Lie groupoids

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Research activity

Code Science Field Subfield
1.01.02  Natural sciences and mathematics  Mathematics  Topology 

Code Science Field
P150  Natural sciences and mathematics  Geometry, algebraic topology 
P120  Natural sciences and mathematics  Number theory, field theory, algebraic geometry, algebra, group theory 
Keywords
Lie groupoid, Lie algebroid, foliation, fundamental group, Hopf algebroid, convolution algebra, cyclic homology
Evaluation (rules)
source: COBISS
Evaluation of bibliographic research performance indicators according to ARIS methodology
Citations Citations for bibliographic records in COBIB.SI that are linked to records in citation databases
source: WoS source: Scopus source: COBISS
Researchers (1)
no. Code Name and surname Research area Role Period No. of publications
1.  11686  PhD Janez Mrčun  Mathematics  Head  2002 - 2004  91 
Organisations (1)
no. Code Research organisation City Registration number No. of publications
1.  0101  Institute of Mathematics, Physics and Mechanics  Ljubljana  5055598000  20,223 
Abstract
The aim of this project is to study some algebraic invariants of Lie groupoids. The fundamental group of a Lie groupoid, the algebroid associated to a Lie groupoid and the Connes convolution algebra of a Lie groupoid are examples of such invariants. In particular we shall investigate how these invariants are transformed with respect to the generalized maps between Lie groupoids. The results will be applied to some interesting examples of Lie groupoids such as orbifolds and holonomy groupoids of foliated manifolds.
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