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In 3-dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer-valued invariant of oriented integral homology 3-spheres, introduced by Andrew Casson. Kevin Walker (1992) found an extension to rational homology 3-spheres, called the Casson–Walker invariant, and Christine Lescop (1995) extended the invariant to all closed oriented 3-manifolds.

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  • Casson invariant (en)
  • キャッソン不変量 (ja)
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  • In 3-dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer-valued invariant of oriented integral homology 3-spheres, introduced by Andrew Casson. Kevin Walker (1992) found an extension to rational homology 3-spheres, called the Casson–Walker invariant, and Christine Lescop (1995) extended the invariant to all closed oriented 3-manifolds. (en)
  • 数学の一分野である幾何学的トポロジーの(3-dimensional topology)では、キャッソン不変量(Casson invariant)は、(Andrew Casson)により導入された向き付け可能な整数(homology 3-sphere)の整数値不変量である。 ケルビン・ウォーカー(Kevin Walker)は、1992年に、キャッソン・ウォーカー不変量(Casson-Walker invariant)と呼ばれる(rational homology 3-sphere)の拡張を発見し、クリスティーヌ・レスコップは、1995年にすべての閉じたな向きつけられた(3-manifold)へ拡張した。 (ja)
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  • In 3-dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer-valued invariant of oriented integral homology 3-spheres, introduced by Andrew Casson. Kevin Walker (1992) found an extension to rational homology 3-spheres, called the Casson–Walker invariant, and Christine Lescop (1995) extended the invariant to all closed oriented 3-manifolds. (en)
  • 数学の一分野である幾何学的トポロジーの(3-dimensional topology)では、キャッソン不変量(Casson invariant)は、(Andrew Casson)により導入された向き付け可能な整数(homology 3-sphere)の整数値不変量である。 ケルビン・ウォーカー(Kevin Walker)は、1992年に、キャッソン・ウォーカー不変量(Casson-Walker invariant)と呼ばれる(rational homology 3-sphere)の拡張を発見し、クリスティーヌ・レスコップは、1995年にすべての閉じたな向きつけられた(3-manifold)へ拡張した。 (ja)
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