The integral cohomology rings of four-dimensional toric orbifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866918508302958592 |
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| author | Fu, Xin So, Tseleung Song, Jongbaek |
| author_facet | Fu, Xin So, Tseleung Song, Jongbaek |
| contents | Let $X(P,λ)$ be a 4-dimensional toric orbifold associated to a polygon $P$ and a characteristic function $λ$. Assuming that $X(P,λ)$ is locally smooth over a vertex of $P$, we determine the integral cohomology ring $H^*(X(P,λ);\Z)$ by constructing an explicit basis and expressing the cup products of the basis elements in terms of $P$ and $λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_03936 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The integral cohomology rings of four-dimensional toric orbifolds Fu, Xin So, Tseleung Song, Jongbaek Algebraic Topology 57S12, 55N45 (Primary), 57R18, 13F55 (Secondary) Let $X(P,λ)$ be a 4-dimensional toric orbifold associated to a polygon $P$ and a characteristic function $λ$. Assuming that $X(P,λ)$ is locally smooth over a vertex of $P$, we determine the integral cohomology ring $H^*(X(P,λ);\Z)$ by constructing an explicit basis and expressing the cup products of the basis elements in terms of $P$ and $λ$. |
| title | The integral cohomology rings of four-dimensional toric orbifolds |
| topic | Algebraic Topology 57S12, 55N45 (Primary), 57R18, 13F55 (Secondary) |
| url | https://arxiv.org/abs/2304.03936 |