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A duality theorem for deligne-mumford stacks with respect to Morava K-theory

Author: Man Chuen Cheng; Søren Galatius; G Carlsson; Ralph L Cohen; Stanford University. Department of Mathematics.
Publisher: 2011.
Dissertation: Thesis (Ph. D.)--Stanford University, 2011.
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation : eBook   Computer File : English
Database:WorldCat
Summary:
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  Read more...
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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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