Computing Borel's Regulator II

Details Computing Borel's Regulator II Computing Borel's Regulator II

2009-09-04

arxiv.org/abs/0909.0883v3

Mathematics

K-Theory and Homology

This paper has been merged with arXiv:0908.3765

Scientific paper

In our earlier article we described a power series formula for the Borel regulator evaluated on the odd-dimensional homology of the general linear group of a number field and, concentrating on dimension three for simplicity, described a computer algorithm which calculates the value to any chosen degree of accuracy. In this sequel we give an algorithm for the construction of the input homology classes and describe the results of one cyclotomic field computation.

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