Scissors congruence of the line and the regulator
K-Theory and Homology
2025-07-08 v2
Abstract
We construct explicit generators for the higher scissors congruence K-theory of the line. We use this to derive an explicit generating set for the homology of the group of interval exchange transformations. Our proof makes use of an extended version of the regulator (trace) map of Bohmann, Gerhardt, Malkiewich, Merling, and Zahkarevich.
Cite
@article{arxiv.2505.08676,
title = {Scissors congruence of the line and the regulator},
author = {Ezekiel Lemann},
journal= {arXiv preprint arXiv:2505.08676},
year = {2025}
}