The finite group action and the equivariant determinant of elliptic operators

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概要

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• If a closed oriented manifold admits an action of a finite group G, he equivariant determinant of a G-equivariant elliptic operator on the manifold defines a group homomorphism from G to S^1. The equivariant determinant is obtained from the fixed point data of the action by using the Atiyah-Singer index theorem, and the fact that the equivariant determinant is a group homomorphism imposes conditions on the fixed point data. In this paper, using the equivariant determinant, we introduce an obstruction to the existence of a finite group action on the manifold, which is obtained directly from the relation among the generators of the finite group.

• 社団法人 日本数学会の論文
• 2005-01-01

著者

• Tsuboi Kenji

  Tokyo University Of Marine Science And Technology

関連論文

• The finite group action and the equivariant determinant of elliptic operators

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