\u53bb\u5e74\u306e\u590f\uff0c\u305d\u308c\u307e\u3067\u306e\u52c9\u5f37\u306e\u6d41\u308c\u304b\u3089\u975e\u53ef\u63db\u5fae\u5206\u5e7e\u4f55\u306e\u672c\uff0c
\nMadore, An Introduction to Noncommutative Differential Geometry
\n and its Physical Applications, 2nd ed., Cambridge Univ. Press, 1999
\n\u3092\u8aad\u3082\u3046\u3068\u3057\u3066\u3044\u305f\u3002<\/p>\n
<\/p>\n
\u3057\u304b\u3057\u3044\u308d\u3044\u308d\u306a\u4e8b\u60c5\u304b\u308920\u30da\u30fc\u30b8\u3082\u8aad\u307e\u306a\u3044\u3067\u632b\u6298\u3002<\/p>\n
\u305d\u306e\u5f8c\uff0c\u8208\u5473\u3068\u4e88\u5099\u77e5\u8b58\u3092\u5897\u3084\u3059\u3053\u3068\u3092\u76ee\u7684\u306b\uff0c
\n\u7269\u7406\u306e\u672c\u3092\u8aad\u307f\u59cb\u3081\u305f\u3002<\/p>\n
\uff08\u53e4\u5178\u529b\u5b66\u306f\u4e00\u6628\u5e74\u306e5\u6708\u3053\u308d\u306b\u52c9\u5f37\u3057\u305f\u306e\u3067\uff09
\n\u96fb\u78c1\u6c17\u5b66\u304b\u3089\u59cb\u307e\u3063\u3066\u5e74\u672b\u306b\u306f\u76f8\u5bfe\u8ad6\u306e\u672c\u3092\u3088\u3093\u3067\u3044\u305f\u3002<\/p>\n
\u3067\uff0c\u5e74\u660e\u3051\u304b\u3089\u306f\u3057\u3070\u3089\u304f\u306e\u9593\u306f\u3053\u306e\u30d6\u30ed\u30b0\u306e\u8a18\u4e8b\u3067\u3082\u3061\u3087\u3063\u3068\u89e6\u308c\u305f\u304c\uff0c
\n\u76f8\u5bfe\u8ad6\u306b\u95a2\u4fc2\u3057\u3066O’Neill\u306e Geometry of Kerr Blackhole \u3092\u773a\u3081\u3066\uff0c
\nO’Neill \u306e\u7cbe\u7dfb\u306a\u7814\u7a76\u306b\u9a5a\u5606\u3057\u3066\u3044\u305f\u3002<\/p>\n
2\u6708\u534a\u3070\uff0c\u77e5\u308a\u5408\u3044\u304c1\u518a\u306e\u672c\u3092\u7d39\u4ecb\u3057\u3066\u304f\u308c\u305f\u3002
\nNakanishi and Ojima, Covariant Operator Formalism of
\nGauge Theories and Quantum Gravity, World Scientific, 1990.
\n\u3060\u3002<\/p>\n
\u77e5\u308a\u5408\u3044\u306e\u8a71\u3092\u805e\u3044\u3066\uff0c
\n\u300c\u3046\u3080\uff0c\u3053\u308c\u3060\uff01\u300d
\n\u3068\u3044\u3046\u624b\u5fdc\u3048\u3092\u611f\u3058\u305f\u3002<\/p>\n
\u3067\uff0c\u3053\u308c\u306b\u53d6\u308a\u304b\u304b\u308a\u306f\u3058\u3081\u305f\u306e\u3060\u304c\uff0c\u96e3\u3057\u3044\u3002
\n\u304b\u306a\u308a\u5834\u306e\u91cf\u5b50\u8ad6\u306b\u6163\u308c\u3066\u3044\u308b\u5fc5\u8981\u3092\u611f\u3058\u305f\u3002
\n\u3067\uff0c\u9762\u767d\u3044\u30c6\u30fc\u30de\u306a\u306e\u3067\uff0c\u76ee\u6a19\u306b\u3059\u308b\u3053\u3068\u3068\u3057\u3066\u4e00\u6642\u4fdd\u7559\u3002
\n\u3053\u306e\u76ee\u6a19\u3092\u9054\u6210\u3059\u3079\u304f\uff0c\u5834\u306e\u91cf\u5b50\u8ad6\u306e\u672c\u3092\u8aad\u307f\u59cb\u3081\u305f\u3002<\/p>\n
\u59cb\u3081\u3066\u307f\u308b\u3068\u9762\u767d\u304f\uff0c\u71b1\u4e2d\u3002
\n\u5742\u672c\u5148\u751f\u306e\u300c\u5834\u306e\u91cf\u5b50\u8ad6\u300d\uff08\u88f3\u83ef\u623f\uff09\u3092\u3067\u304d\u308b\u3068\u3053\u308d\u3060\u3051\u9014\u4e2d\u306e\u8a08\u7b97\u3092\u3057\u306a\u304c\u3089\uff0c
\n\u3056\u3063\u3068\u8aad\u307f\u7d42\u308f\u3063\u305f\u3002<\/p>\n
\u5742\u672c\u5148\u751f\u306e\u672c\u306f\u7d9a\u7de8\u304c\u4e88\u5b9a\u3055\u308c\u3066\u3044\u3066\uff0c
\n\u5834\u306e\u91cf\u5b50\u8ad6\u5168\u4f53\u304c\u66f8\u304b\u308c\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u304c\uff0c
\n\u521d\u7b49\u7684\u3067\u79c1\u306e\u3088\u3046\u306a\u7d20\u4eba\u306b\u3082\u3088\u304f\u308f\u304b\u308b\u3088\u3046\u306b\u66f8\u304b\u308c\u3066\u3044\u305f\u3002<\/p>\n
\u3057\u304b\u3057Nakanishi-Ojima\u3092\u8aad\u3080\u306b\u306f\u307e\u3060\u8db3\u3089\u306a\u3044\u3002
\n\u4e2d\u897f\u5148\u751f\u3054\u81ea\u8eab\u3082\u300c\u5834\u306e\u91cf\u5b50\u8ad6\u300d\uff08\u57f9\u98a8\u9928\uff09\u3068\u3044\u3046\u672c\u3092\u66f8\u304b\u308c\u3066\u3044\u308b\u306e\u3060\u304c\uff0c
\n\u3053\u308c\u306b\u3082\u6b6f\u304c\u305f\u305f\u306a\u3044\u3002<\/p>\n
\u305d\u3093\u306a\u4e2d\uff0c\u5834\u306e\u91cf\u5b50\u8ad6\u306e\u6570\u5b66\u7684\u306a\u57fa\u790e\u3065\u3051\u306f\u3069\u3046\u306a\u3063\u3066\u3044\u308b\u306e\u3060\u308d\u3046\uff0c
\n\u3068\u3075\u3068\u7591\u554f\u306b\u601d\u3063\u305f\u3002
\n\u3044\u308d\u3044\u308d\u6587\u732e\u3092\u8abf\u3079\u3066\uff0c3\u6708\u306e\u672b\uff0c
\n\u65b0\u4e95\u5148\u751f\u306e\u300c\u5834\u306e\u91cf\u5b50\u8ad6\u306e\u6570\u5b66\u7684\u65b9\u6cd5\u5165\u9580\u300d\u3068\u3044\u3046\u672c\u306b\u51fa\u4f1a\u3044\uff0c\u3056\u3063\u3068\u773a\u3081\u308b\u3002<\/p>\n
\u305d\u306e\u6700\u5f8c\u306e\u7ae0\uff0c\u7b2c13\u7ae0\u306f\u300c\u5c55\u671b\u300d\u3067\uff0c
\n\u305d\u3053\u306b \u5f93\u6765\u306e\u5834\u306e\u91cf\u5b50\u8ad6\u306e\u5f62\u5f0f\u3092\u8d85\u3048\u308b\u65b9\u5411\u306e\u4e00\u3064\u3068\u3057\u3066\u975e\u53ef\u63db\u5e7e\u4f55\u5b66\u3092\u6319\u3052\u3066\u304a\u3089\u308c\u305f\u3002<\/p>\n
\u3093\u3067\uff0c\u53bb\u5e74\u306e\u590f\u306e\u5834\u6240\u306b\u623b\u3063\u305f\uff01<\/p>\n
\u3082\u3061\u308d\u3093\u53bb\u5e74\u306e\u590f\u306e\u8208\u5473\u3068\uff0c\u4eca\u306e\u8208\u5473\uff0c\u77e5\u8b58\u306e\u91cf\uff0c\u7406\u89e3\u306e\u5ea6\u5408\u3044\u306f\u5168\u304f\u9055\u3046\u306e\u3067\uff0c
\n\u898b\u3048\u65b9\u3082\u5168\u304f\u9055\u3046\u611f\u3058\u3002<\/p>\n
\u5b9f\u969b\uff0cConnes \u306e Noncommutative Geometry \u3084\uff0c
\nGracia-Bondia et al., Elements of Noncommutative Geometry \u306e\u524d\u66f8\u304d\u3092\u8aad\u307f\u306a\u304a\u3057\u3066\u3044\u3066\uff0c
\n\u300c\u3048\u30fc\u3063\uff0c\u3053\u3093\u306a\u3053\u3068\u3092\u76ee\u6a19\u306b\u3057\u3066\u3044\u305f\u3093\u3060\u300d
\n\u306a\u3069\u3068\u3044\u3046\uff0c\u3061\u3087\u30fc\u304a\u99ac\u9e7f\u306a\u611f\u60f3\u3092\u3082\u3063\u305f\u304f\u3089\u3044\u3002<\/p>\n
\u5192\u982d\u306b\u89e6\u308c\u305fMadore\u306e\u672c\u3082\u898b\u3048\u65b9\u304c\u304b\u306a\u308a\u5909\u308f\u3063\u305f\u3002<\/p>\n
\u5e83\u5927\u306a\u4e16\u754c\u306b\u30ef\u30af\u30ef\u30af\u3057\u3066\u3044\u308b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u53bb\u5e74\u306e\u590f\uff0c\u305d\u308c\u307e\u3067\u306e\u52c9\u5f37\u306e\u6d41\u308c\u304b\u3089\u975e\u53ef\u63db\u5fae\u5206\u5e7e\u4f55\u306e\u672c\uff0c Madore, An Introduction to Noncommutative Differential Geometry and its Physical A … \u7d9a\u304d\u3092\u8aad\u3080