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...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.展开更多
基金supported by the National Research Foundation of Korea(NRF for short)grant funded by the Korea government(MSIP)(No.2016R1A2B4010823)。
文摘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.
