Cohomology for Anyone

被引：0
作者：
David A. Rabson
John F. Huesman
Benji N. Fisher
机构：
[1] University of South Florida,Department of Physics, PHY 114
[2] Boston College,Mathematics Department
来源：
Foundations of Physics | 2003年 / 33卷
关键词：
crystallography; space groups; cohomology; homology; algebraic topology;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Crystallography has proven a rich source of ideas over several centuries. Among the many ways of looking at space groups, N. David Mermin has pioneered the Fourier-space approach. Recently, we have supplemented this approach with methods borrowed from algebraic topology. We now show what topology, which studies global properties of manifolds, has to do with crystallography. No mathematics is assumed beyond what the typical physics or crystallography student will have seen of group theory; in particular, the reader need not have any prior exposure to topology or to cohomology of groups.
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页码：1769 / 1796
页数：27
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