Equivariant Cobordism of Torus Orbifolds

被引:0
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作者
Soumen Sarkar
DongYoup Suh
机构
[1] Indian Institute of Technology Madras,Department of Mathematics
[2] KAIST,Department of Mathematical Sciences
关键词
Manifold with corners; Torus action; Torus orbifolds; Equivariant cobordism; 55N22; 57R85;
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中图分类号
学科分类号
摘要
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.
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页码:861 / 890
页数:29
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