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| Equivariant Cobordism of Torus Orbifolds* |
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Citation： |
Soumen SARKAR,DongYoup SUH.Equivariant Cobordism of Torus Orbifolds*[J].Chinese Annals of Mathematics B,2021,42(6):861~890 |
| Page view： 963
Net amount： 535 |
Authors： |
Soumen SARKAR; DongYoup SUH |
Foundation： |
National Research Foundation of Korea (NRF for short) grant funded by the Korea government (MSIP) (No. 2016R1A2B4010823). |
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| Abstract： |
Torus orbifolds are topological generalizations of symplectic toric orbifolds.The authours give a construction of smooth orbifolds with torus actions whose boundary is a disjoint union of torus orbifolds using a toric topological method. As a result, they show that any orientable locally standard torus orbifold is equivariantly cobordant to some copies of orbifold complex projective spaces. They also discuss some further equivariant cobordism results including the cases when torus orbifolds are actually torus manifolds. |
Keywords： |
Manifold with corners, Torus action, Torus orbifolds, Equivariant cobordism |
Classification： |
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