Simplicial Polytope Complexes and Deloopings of $K$-theory
Algebraic Topology
2011-02-22 v1
Abstract
This paper is a continuation of our previous work in which we defined the notion of a polytope complex and its -theory. In this paper we produce formulas for the delooping of a simplicial polytope complex and the cofiber of a morphism of simplicial polytope complexes. Along the way we also prove that the (classical and higher) scissors congruence groups of polytopes in a homogeneous -manifold (with sufficient geometric data) are determined by its local properties.
Keywords
Cite
@article{arxiv.1102.4278,
title = {Simplicial Polytope Complexes and Deloopings of $K$-theory},
author = {Inna Zakharevich},
journal= {arXiv preprint arXiv:1102.4278},
year = {2011}
}