翻訳と辞書 Words near each other ・ Clifford Sifton ・ Clifford Smallwood ・ Clifford Smith ・ Clifford Smith (cricketer) ・ Clifford Smyth ・ Clifford Sobel ・ Clifford Starks ・ Clifford Stein ・ Clifford Stine ・ Clifford Stoll ・ Clifford Strange ・ Clifford Street ・ Clifford Swann ・ Clifford T. Ward ・ Clifford Tabin ・ Clifford Taubes ・ Clifford Taylor ・ Clifford Taylor (composer) ・ Clifford Taylor (cricketer) ・ Clifford the Big Red Dog ・ Clifford the Big Red Dog (TV series) ・ Clifford theory ・ Clifford Thomason Beckett ・ Clifford Thompson ・ Clifford Thornton ・ Clifford Thurlow ・ Clifford torus ・ Clifford Township ・ Clifford Township, Butler County, Kansas ・ Clifford Township, Susquehanna County, Pennsylvania Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Clifford Taubes ： ウィキペディア英語版 Clifford Taubes Clifford Henry Taubes (born 1954) is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology. His brother, Gary Taubes, is a science writer. ==Early career== Taubes received his Ph.D. in physics in 1980 under the direction of Arthur Jaffe, having proven results collected in about the existence of solutions to the Landau–Ginzburg vortex equations and the Bogomol'nyi monopole equations. Soon, he began applying his gauge-theoretic expertise to pure mathematics. His work on the boundary of the moduli space of solutions to the Yang-Mills equations was used by Simon Donaldson in his proof of Donaldson's theorem. He proved in that R4 has an uncountable number of smooth structures (see also exotic R4), and (with Raoul Bott in ) proved Witten's rigidity theorem on the elliptic genus. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Clifford Taubes」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.