We give an explicit parameterization of the $\SU$ representation space of the Brieskorn homology spheres using the trace coordinates. As an application, we give an example of a Brieskorn homology sphere for which the orbifold Toledo invariant defined by M.~Krebs does not distinguish all the connected components of the $\PU$ representation space.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
14
号
4
ページ
499 - 510
発行年
2007-12-28
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathmatical Subject Classification
57M05(MSC2000)
57M27(MSC2000)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
2006-04-07
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On the $\SU$ representation space of the Brieskorn homology spheres
jms140401.pdf
(139.51KB)
