|
|
| |
| Resolution of Singularities of Quasitoric Orbifolds and Equivariant Cobordismof Certain T-manifolds |
| |
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： 4 |
Authors： |
Koushik BRAHMA ·; Soumen SARKAR ·;Subhankar SAU |
Foundation： |
the Science and Engineering Research Board India. |
|
|
| 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 |
|
|
Download PDF Full-Text
|
