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국가지식-학술정보

ON THE S<sup>1</sup>-EULER CHARACTERISTIC OF THE SPACE WITH A CIRCLE ACTION ii

ON THE S<sup>1</sup>-EULER CHARACTERISTIC OF THE SPACE WITH A CIRCLE ACTION ii

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The $S^1$-Eule characteristics of X is defined by $\bar{\chi}_{S^1}(X)\;{\in}\;HH_1(ZG)$, where G is the fundamental group of connected finite $S^1$-compact manifold or connected finite $S^1$-finite complex X and $HH_1$ is the first Hochsch ild homology group functor. The purpose of this paper is to find several cases which the $S^1$-Euler characteristic has a homotopic invariant.

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