Methods from Differential Geometry in Polytope Theory
Combinatorics
2014-03-12 v1 Algebraic Topology
Differential Geometry
Metric Geometry
Abstract
The purpose of this thesis is to study classical combinatorial objects, such as polytopes, polytopal complexes, and subspace arrangements, using tools that have been developed in combinatorial topology, especially those tools developed in connection with (discrete) differential geometry, geometric group theory and low-dimensional topology.
Keywords
Cite
@article{arxiv.1403.2657,
title = {Methods from Differential Geometry in Polytope Theory},
author = {Karim Alexander Adiprasito},
journal= {arXiv preprint arXiv:1403.2657},
year = {2014}
}
Comments
PhD Thesis Freie Universit\"at Berlin 2013, 112 pages