現代数学の系譜11 ガロア理論を読む8at MATH現代数学の系譜11 ガロア理論を読む8 - 暇つぶし2ch■コピペモード□スレを通常表示□オプションモード□このｽﾚｯﾄﾞのURL■項目テキスト596:１３２人目の素数さん 14/06/28 06:13:34.47 こんなのもご参考に http://math.stackexchange.com/questions/469992/tangent-bundles-of-exotic-manifolds Tangent bundles of exotic manifolds edited Aug 17 '13 1 Answer Milnor gives an example of two homeomorphic smooth manifolds whose tangent bundles are not isomorphic as vector bundles, see his ICM-1962 address, Corollary 1. I think, this was the first such example. 597:１３２人目の素数さん 14/06/28 11:41:13.88 >>593 補足 Gerbes http://en.wikipedia.org/wiki/Gerbe In mathematics, a gerbe is a construct in homological algebra and topology. Gerbes were introduced by Jean Giraud (Giraud 1971) following ideas of Alexandre Grothendieck as a tool for non-commutative cohomology in degree 2. They can be seen as a generalization of principal bundles to the setting of 2-categories. Gerbes provide a convenient, if highly abstract, language for dealing with many types of deformation questions especially in modern algebraic geometry. In addition, special cases of gerbes have been used more recently in differential topology and differential geometry to give alternative descriptions to certain cohomology classes and additional structures attached to them. "Gerbe" is a French (and archaic English) word that literally means wheat sheaf. 次ページ最新レス表示レスジャンプ類似スレ一覧スレッドの検索話題のニュースおまかせリストオプションしおりを挟むスレッドに書込スレッドの一覧暇つぶし2ch