On the enumeration of Fano Bott manifolds

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.

References in corpus (2)

• An algorithm for the classification of smooth Fano polytopes
• Cohomological rigidity for Fano Bott manifolds