Cut and paste invariants of manifolds via algebraic K-theory
Algebraic Topology
2021-12-07 v2 Geometric Topology
K-Theory and Homology
Abstract
Recent work of Jonathan Campbell and Inna Zakharevich has focused on building machinery for studying scissors congruence problems via algebraic -theory, and applying these tools to studying the Grothendieck ring of varieties. In this paper we give a new application of their framework: we construct a -space that recovers the classical ("schneiden und kleben," German for "cut and paste") groups for manifolds on , and we construct a derived version of the Euler characteristic.
Keywords
Cite
@article{arxiv.2001.00176,
title = {Cut and paste invariants of manifolds via algebraic K-theory},
author = {Renee S. Hoekzema and Mona Merling and Laura Murray and Carmen Rovi and Julia Semikina},
journal= {arXiv preprint arXiv:2001.00176},
year = {2021}
}
Comments
Final version