Master of Science in Mathematics
Department of Mathematical Sciences
Date of Award
Dr. Raziuddin Siddique
Committee Member 1
Dr. Muhammad Mobeen Munir, Associate Professor, University of Lahore, Lahore
Committee Member 2
Dr. Waseem Khalid, Associate Professor, University of Lahore, Pakpattan Campus
Committee Member 3
Dr. Hisham Bin Zubair, Chairperson, Department of Mathematical Sciences, Institute of Business Administration
In this thesis, we show that the Deligne-Beilinson cohomology of dual numbers essentially reduces to the Deligne-Beilinson cohomology of non-infinitesimal case showing that the infinitesimal regulator can not be retrieved from analogue of Beilinson’s regulator for dual numbers. We also show the splitting of continuous group cohomology of GLn(C(")) under the action of C and that the infinitesimal regulator corresponds to the weight space.
Tafhim, M. A. (2020). Infinitesimal Regulator in H3cts (GL2) (C€)), C) and Beilinson Element in H4D (BGL2(C€)), R(2)) (Unpublished master's thesis). Institute of Business Administration, Pakistan. Retrieved from https://ir.iba.edu.pk/etd/11
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