String Structures and Trivialisations of a Pfaffian Line Bundle

被引：0
|
作者：
Ulrich Bunke
机构：
[1] Universität Regensburg,NWF I
来源：
Communications in Mathematical Physics | 2011年 / 307卷
关键词：
Vector Bundle; Line Bundle; Dirac Operator; Bundle Versus; Spin Bundle;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The present paper is a contribution to categorial index theory. Its main result is the calculation of the Pfaffian line bundle of a certain family of real Dirac operators as an object in the category of line bundles. Furthermore, it is shown how string structures give rise to trivialisations of that Pfaffian.
引用
收藏
页码：675 / 712
页数：37
相关论文
共 50 条
  • [21] The Bundle of Paracomplex Structures
    E. S. Kornev
    Siberian Mathematical Journal, 2020, 61 : 687 - 696
  • [22] BUNDLE STRUCTURES ON MANIFOLDS
    WAGONER, JB
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 62 : 19 - &
  • [23] On-Line Handwritten Kanji String Recognition Based on Grammar Description of Character Structures
    Ota, Ikumi
    Yamamoto, Ryo
    Nishimoto, Takuya
    Sagayama, Shigeki
    19TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION, VOLS 1-6, 2008, : 2714 - 2718
  • [24] Complete bundle moduli reduction in heterotic string compactifications
    Curio, Gottfried
    JOURNAL OF HIGH ENERGY PHYSICS, 2012, (05):
  • [25] Complete bundle moduli reduction in heterotic string compactifications
    Gottfried Curio
    Journal of High Energy Physics, 2012
  • [26] Positive line bundle and index
    Hattori, A
    INTERNATIONAL JOURNAL OF MATHEMATICS, 1996, 7 (05) : 645 - 669
  • [27] TANGENT BUNDLE OF LONG LINE
    MORROW, JA
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 23 (02) : 458 - +
  • [28] Complex line bundle Laplacians
    Alexander Vais
    Benjamin Berger
    Franz-Erich Wolter
    The Visual Computer, 2013, 29 : 345 - 357
  • [29] Complex line bundle Laplacians
    Vais, Alexander
    Berger, Benjamin
    Wolter, Franz-Erich
    VISUAL COMPUTER, 2013, 29 (05): : 345 - 357
  • [30] Pfaffian differential equations over exponential o-minimal structures
    Miller, C
    Speissegger, P
    JOURNAL OF SYMBOLIC LOGIC, 2002, 67 (01) : 438 - 448
12345