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dc.contributor.author
Finis, Tobias  
dc.contributor.author
Grunewald, Fritz  
dc.contributor.author
Tirao, Paulo Andres  
dc.date.available
2023-02-28T15:52:21Z  
dc.date.issued
2011-01  
dc.identifier.citation
Finis, Tobias; Grunewald, Fritz; Tirao, Paulo Andres; The cohomology of lattices in sl(2, c); Taylor & Francis; Experimental Mathematics; 19; 1; 1-2011; 29-63  
dc.identifier.issn
1058-6458  
dc.identifier.uri
http://hdl.handle.net/11336/189127  
dc.description.abstract
This paper contains both theoretical results and experimental data on the behavior of the dimensions of the cohomology spaces H1(Γ, En), where Γ is a lattice in SL(2,ℂ) and (Formula Presented), n ∈ ℕ ∪ {0}, is one of the standard selfdual modules. In the case Γ = SL(2, O) for the ring of integers O in an imaginary quadratic number field, we make the theory of lifting explicit and obtain lower bounds linear in n. We present a large amount of experimental data for this case, as well as for some geometrically constructed and mostly nonarithmetic groups. The computations for SL(2, O) lead us to discover two instances with nonlifted classes in the cohomology. We also derive an upper bound of size O(n2/log n) for any fixed lattice Γ in the general case. We discuss a number of new questions and conjectures suggested by our results and our experimental data. © A K Peters, Ltd.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Taylor & Francis  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
AUTOMORPHIC FORMS  
dc.subject
COHOMOLOGY OF ARITHMETIC GROUPS  
dc.subject
KLEINIAN GROUPS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The cohomology of lattices in sl(2, c)  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-01-31T12:32:39Z  
dc.identifier.eissn
1944-950X  
dc.journal.volume
19  
dc.journal.number
1  
dc.journal.pagination
29-63  
dc.journal.pais
Reino Unido  
dc.description.fil
Fil: Finis, Tobias. Heinrich-Heine-Universität. Mathematisches Institut; Alemania  
dc.description.fil
Fil: Grunewald, Fritz. Heinrich-Heine-Universität. Mathematisches Institut; Alemania  
dc.description.fil
Fil: Tirao, Paulo Andres. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Experimental Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/10586458.2010.10129067  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1080/10586458.2010.10129067