Characteristic numbers of canonical toric manifolds and their applications
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917380507041792 |
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| author | Grujić, Vladimir Limonchenko, Ivan |
| author_facet | Grujić, Vladimir Limonchenko, Ivan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02138 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characteristic numbers of canonical toric manifolds and their applications Grujić, Vladimir Limonchenko, Ivan Algebraic Topology Combinatorics 05E45, 13F55, 57R20, 57R42, 57R75, 57R77, 57S12 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. |
| title | Characteristic numbers of canonical toric manifolds and their applications |
| topic | Algebraic Topology Combinatorics 05E45, 13F55, 57R20, 57R42, 57R75, 57R77, 57S12 |
| url | https://arxiv.org/abs/2604.02138 |