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## Details

Material Type: | Document, Thesis/dissertation, Internet resource |
---|---|

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Man Chuen Cheng; Søren Galatius; G Carlsson; Ralph L Cohen; Stanford University. Department of Mathematics. |

OCLC Number: | 748681591 |

Notes: | Submitted to the Department of Mathematics. |

Description: | 1 online resource |

Responsibility: | Man Chuen Cheng. |

### Abstract:

In [7] Greenlees and Sadofsky used a transfer map to show that the classifying spaces of finite groups are self-dual with respect to Morava K-theory K(n). By regarding these classifying spaces as the homotopy types of certain differentiable stacks, their construction can be viewed as a stack version of Spanier-Whitehead type construction. From this point of view, we will extend their results and prove a K(n)-version of Poincare duality for Deligne-Mumford stacks. A few examples of stacks defined by finite groups and moduli stack of Riemann surfaces will be discussed at the end.

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