THE ATIYAH-SINGER THEOREMS - A PROBABILISTIC APPROACH .1. THE INDEX THEOREM

被引:102
|
作者
BISMUT, JM
机构
关键词
D O I
10.1016/0022-1236(84)90101-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:56 / 99
页数:44
相关论文
共 50 条
  • [41] Upper bound on the Atiyah-Singer index from tadpole cancellation
    Keiya Ishiguro
    Takafumi Kai
    Satsuki Nishimura
    Hajime Otsuka
    Maki Takeuchi
    Journal of High Energy Physics, 2024
  • [42] STOCHASTIC CALCULUS IN SUPERSPACE .2. DIFFERENTIAL FORMS, SUPERMANIFOLDS AND THE ATIYAH-SINGER INDEX THEOREM
    ROGERS, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (22): : 6043 - 6062
  • [43] Upper bound on the Atiyah-Singer index from tadpole cancellation
    Ishiguro, Keiya
    Kai, Takafumi
    Nishimura, Satsuki
    Otsuka, Hajime
    Takeuchi, Maki
    JOURNAL OF HIGH ENERGY PHYSICS, 2024, 2024 (01)
  • [44] Fullerene C60 Simulated with a Superconducting Microwave Resonator and Test of the Atiyah-Singer Index Theorem
    Dietz, B.
    Klaus, T.
    Miski-Oglu, M.
    Richter, A.
    Bischoff, M.
    von Smekal, L.
    Wambach, J.
    PHYSICAL REVIEW LETTERS, 2015, 115 (02)
  • [45] Strongly Invertible Knots, Invariant Surfaces, and the Atiyah-Singer Signature Theorem
    Alfieri, Antonio
    Boyle, Keegan
    MICHIGAN MATHEMATICAL JOURNAL, 2024, 74 (04) : 845 - 861
  • [46] SUPERSYMMETRY AND THE ATIYAH-SINGER INDEX THEOREM .2. THE SCALAR CURVATURE FACTOR IN THE SCHRODINGER-EQUATION
    MOSTAFAZADEH, A
    JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (03) : 1125 - 1138
  • [48] A Lattice Version of the Atiyah–Singer Index Theorem
    Mayuko Yamashita
    Communications in Mathematical Physics, 2021, 385 : 495 - 520
  • [49] A PROOF OF THE MOD 2 INDEX THEOREM OF ATIYAH AND SINGER
    ZHANG, WP
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (03): : 277 - 280
  • [50] The Atiyah Singer Index Theorem and Chern Weil Forms
    Simons, James
    Sullivan, Dennis
    PURE AND APPLIED MATHEMATICS QUARTERLY, 2010, 6 (02) : 643 - 645