Integral cohomology of certain Picard modular surfaces

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Dan Yasaki, Associate Professor & Director of Undergraduate Studies (Creator)
The University of North Carolina at Greensboro (UNCG )
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Abstract: Let be the Picard modular group of an imaginary quadratic number field k and let D be the associated symmetric space. Let be a congruence subgroup. We describe a method to compute the integral cohomology of the locally symmetric space G\D. The method is implemented for the cases k=Q(i) and , and the cohomology is computed for various G. [The original abstract for this article contains characters that cannot be displayed here. Please click on the link below to read the full abstract and article.]

Additional Information

Journal of Number Theory, 134, 13-26
Language: English
Date: 2014
Picard modular group, Locally symmetric space, Cohomology of arithmetic subgroups, Spine

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