Real Bott manifolds and acyclic digraphs
Algebraic Topology
2010-03-02 v2 Combinatorics
Abstract
Masuda (2008) provided the characterization of real Bott manifolds in terms of three operations on upper triangular matrices. We provide a combinatorial characterization of real Bott manifolds up to diffeomorphism in terms of operations on directed acyclic graphs. Our observation leads to several new invariants of real Bott manifolds.
Keywords
Cite
@article{arxiv.1002.4704,
title = {Real Bott manifolds and acyclic digraphs},
author = {Suyoung Choi and Sang-il Oum},
journal= {arXiv preprint arXiv:1002.4704},
year = {2010}
}