On the enumeration of Fano Bott manifolds
Algebraic Geometry
2021-06-25 v1 Combinatorics
Abstract
Fano Bott manifolds bijectively correspond to signed rooted forests with some equivalence relation. Using this bijective correspondence, we enumerate the isomorphism classes of Fano Bott manifolds and the diffeomorphism classes of indecomposable Fano Bott manifolds. We also observe that the signed rooted forests with the equivalence relation bijectively correspond to rooted triangular cacti.
Keywords
Cite
@article{arxiv.2106.12788,
title = {On the enumeration of Fano Bott manifolds},
author = {Yunhyung Cho and Eunjeong Lee and Mikiya Masuda and Seonjeong Park},
journal= {arXiv preprint arXiv:2106.12788},
year = {2021}
}