Real Bott manifolds and acyclic digraphs

Details Real Bott manifolds and acyclic digraphs Real Bott manifolds and acyclic digraphs

2010-02-25

arxiv.org/abs/1002.4704v2

Mathematics

Algebraic Topology

Scientific paper

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.

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