Extensions of the Euler-Satake characteristic determine point singularities of orientable 3-orbifolds

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概要

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• We compute the extensions of the Euler-Satake characteristic of a closed, effective, orientable 3-orbifold corresponding to free and free abelian groups in terms of the number and type of point singularities of the orbifold. Using these computations, we show that the free Euler-Satake characteristics determine the number and type of point singularities, and that it takes an infinite collection of free Euler-Satake characteristics to do so. Additionally, we show that the stringy orbifold Euler characteristic determines all of the free abelian Euler-Satake characteristics for an orbifold in this class.

• 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文

著者

• Carroll Ryan

  Department of Mathematics University of California

• Seaton Christopher

  Department of Mathematics and Computer Science Rhodes College

関連論文

• Extensions of the Euler-Satake characteristic determine point singularities of orientable 3-orbifolds

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