Geodesic
Homological and Bloch invariants for $\mathbb Q$-rank one spaces and flag structures
Inkang Kim1 ; Sungwoon Kim2 ; Thilo Kuessner1
1KIAS, Seoul, South Korea
2Jeju National University, South Korea
Groups, geometry, and dynamics, Tome 9 (2015) no. 3, pp. 917-974

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DOI

We use group homology to define invariants in algebraic K-theory and in an analogue of the Bloch group for Q-rank one lattices and for some other geometric structures. We also show that the Bloch invariants of CR structures and of ag structures can be recovered by a fundamental class construction.
DOI : 10.4171/ggd/332
Classification : 22-XX, 53-XX, 57-XX
Mots-clés : Group (co)holomology, Bloch group, semisimple Lie group

Inkang Kim  1   ; Sungwoon Kim  2   ; Thilo Kuessner  1

1 KIAS, Seoul, South Korea
2 Jeju National University, South Korea 
Inkang Kim; Sungwoon Kim; Thilo Kuessner. Homological and Bloch invariants for $\mathbb Q$-rank one spaces and flag structures. Groups, geometry, and dynamics, Tome 9 (2015) no. 3, pp. 917-974. doi: 10.4171/ggd/332
@article{10_4171_ggd_332,
     author = {Inkang Kim and Sungwoon Kim and Thilo Kuessner},
     title = {Homological and {Bloch} invariants for $\mathbb Q$-rank one spaces and flag structures},
     journal = {Groups, geometry, and dynamics},
     pages = {917--974},
     year = {2015},
     volume = {9},
     number = {3},
     doi = {10.4171/ggd/332},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/332/}
}
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