Geometric retracts of Siegel's upper half space

The purpose of this thesis is to construct a codimension 1 cocompact Sp₂gℤ-equivariant strong deformation retract Wg of Siegel's upper half space hg . This yields a partial contribution towards the problem of constructing a strong spine for the real linear symplectic group Sp₂gℝ. === Science, F...

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Bibliographic Details
Main Author: Martel, Justin
Language:English
Published: University of British Columbia 2013
Online Access:http://hdl.handle.net/2429/44338
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Summary:The purpose of this thesis is to construct a codimension 1 cocompact Sp₂gℤ-equivariant strong deformation retract Wg of Siegel's upper half space hg . This yields a partial contribution towards the problem of constructing a strong spine for the real linear symplectic group Sp₂gℝ. === Science, Faculty of === Mathematics, Department of === Graduate