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Dold manifolds with (????₂)^{????}-action

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Actions on Dold manifolds P ( m , 2 k ) P(m,{2^k}) are constructed to determine the ideals I ∗ , k 2 k \mathcal {I}_{ \ast ,k}^{{2^k}} of cobordism classes in N ∗ {\mathcal {N}_ \ast } containing a representative admitting a ( Z 2 ) k {({{\mathbf {Z}}_2})^k} -action with fixed point set of codimension 2 k {2^k} .
Title: Dold manifolds with (????₂)^{????}-action
Description:
Actions on Dold manifolds P ( m , 2 k ) P(m,{2^k}) are constructed to determine the ideals I ∗ , k 2 k \mathcal {I}_{ \ast ,k}^{{2^k}} of cobordism classes in N ∗ {\mathcal {N}_ \ast } containing a representative admitting a ( Z 2 ) k {({{\mathbf {Z}}_2})^k} -action with fixed point set of codimension 2 k {2^k} .

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