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| Resolution of Singularities of Quasitoric Orbifolds and Equivariant Cobordismof Certain T-manifolds |
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Citation: |
Koushik BRAHMA ·,Soumen SARKAR ·,Subhankar SAU.Resolution of Singularities of Quasitoric Orbifolds and Equivariant Cobordismof Certain T-manifolds[J].Chinese Annals of Mathematics B,2026,(5):855~870 |
| Page view: 2
Net amount: 6 |
Authors: |
Koushik BRAHMA ·; Soumen SARKAR ·;Subhankar SAU |
Foundation: |
the Science and Engineering Research Board India. |
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| Abstract: |
Quasitoric orbifolds and locally 1-standard T -manifolds are the topological
generalizations of simplicial projective toric varieties and good contact toric manifolds
respectively. In this paper, the authors show that there is a resolution of singularities of
a quasitoric orbifold. Then, they give an explicit construction of a (2n + 1)-dimensional
smooth orientable manifold with T n+1-action whose boundary is a given locally 1-standard
T -manifold. Moreover, they conclude that good contact toric manifolds and generalized
lens spaces are equivariantly cobordant to zero. |
Keywords: |
Resolution of singularity Quasitoric orbifold Torus action Locally
1-standard T -manifold Equivariant cobordism |
Classification: |
14E15, 57R85, 52B11, 57S12 |
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