Characteristic numbers of canonical toric manifolds and their applications

Vladimir Grujić; Ivan Limonchenko

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arXiv · 2604.02138

Characteristic numbers of canonical toric manifolds and their applications

Vladimir Grujić·Ivan Limonchenko

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Abstract

We compute all the Chern, Milnor and Pontryagin numbers for canonical toric manifolds associated with abstract simplicial complexes and the Stiefel-Whitney numbers for their real counterparts. Applications include combinatorial characterizations of the unitary, oriented and unoriented bordism classes, new geometrical representatives of the unitary bordism ring generators, a combinatorial criterion for a canonical toric manifold to bound, as well as the dimension estimates for their immersions into euclidean spaces.

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Vladimir Grujić, Ivan Limonchenko. 2026-04-02. Characteristic numbers of canonical toric manifolds and their applications. https://arxiv.org/abs/2604.02138

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