Let Γ be a crystallographic group acting on the n-dimensional Euclidean space. In this dissertation, the surgery obstruction groups of Γ are computed in terms of certain sheaf homology groups defined by F. Quinn, when Γ has no 2-torsion. The main theorem is :
Theorem : If a crystallographic group Γ has no 2-torsion, there is a natural isomorphism
a : H<sub>*</sub>(R<sup>n</sup> /Γ; L(p)) → L<sub>*</sub><sup>-∞</sup>(Γ). / Ph. D.
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/74656 |
| Date | January 1982 |
| Creators | Yamasaki, Masayuki |
| Contributors | Mathematics, Quinn, Frank, Arnold, Jesse T., McCoy, Robert A., Olin, Robert F., Snider, R.L. |
| Publisher | Virginia Polytechnic Institute and State University |
| Source Sets | Virginia Tech Theses and Dissertation |
| Language | en_US |
| Detected Language | English |
| Type | Dissertation, Text |
| Format | iii, 103, [1] leaves, application/pdf, application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | OCLC# 9184851 |
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