caa a22 4500 445884320 CHVBK 20180317145554.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10711-010-9536-1 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9536-1 Sande L. Departamento de Computación, Facultade de Informática, Universidade de A Coruña, 15701, A Coruña, Spain aut L 2-Lefschetz distribution of Lie foliations [Elektronische Daten] [L. Sande] Let $${\fancyscript{F}}$$ be a Lie foliation on a closed manifold M with structural Lie group G. Let $${\rho : \left(\widetilde{M}, \widetilde{\fancyscript{F}}\right) \to (M,\fancyscript{F})}$$ a regular covering map with group of deck transformations Γ. A distribution $${L_{\Gamma {\rm dis}} (\fancyscript{F})}$$ on G is defined. This $${L_{\Gamma {\rm dis}} (\fancyscript{F})}$$ is an L 2 version of the Lefschetz distribution of $${\fancyscript{F}}$$, introduced by Álvarez-Kordyukov. Around the identity element, a distributional version of the Atiyah's Γ-index theorem is proved. Springer Science+Business Media B.V., 2010 Lie foliation nationallicence Riemannian foliation nationallicence L 2-cohomology nationallicence Leafwise reduced cohomology nationallicence Ditributional trace nationallicence Lefschetz distribution nationallicence Λ -Euler characteristic nationallicence Λ -Lefschetz number nationallicence Lefschetz trace formula nationallicence Geometriae Dedicata Springer Netherlands 151/1(2011-04-01), 305-321 0046-5755 151:1<305 2011 151 10711 https://doi.org/10.1007/s10711-010-9536-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9536-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sande L. Departamento de Computación, Facultade de Informática, Universidade de A Coruña, 15701, A Coruña, Spain aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 151/1(2011-04-01), 305-321 0046-5755 151:1<305 2011 151 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer