The Index of Cusp Operators on Manifolds with Corners

被引:0
|
作者
Robert Lauter
Sergiu Moroianu
机构
[1] Universitäat Mainz,Fachbereich 17 – Mathematik
[2] Institutul de Matematică al Academiei Române,undefined
来源
Annals of Global Analysis and Geometry | 2002年 / 21卷
关键词
manifolds with multi-cuspidal singularities; degenerate pseudodifferential operators; residue traces; eta-invariants; index formulas;
D O I
暂无
中图分类号
学科分类号
摘要
We recall a Fredholm criterion for fully elliptic cusp(pseudo)differential operators on a compact manifold with corners ofarbitrary codimension, acting on suitable Sobolev spaces. Then we give aformula for the index in terms of regularized `trace' functionalssimilar to the residue trace of Wodzicki and Guillemin.
引用
收藏
页码:31 / 49
页数:18
相关论文
共 50 条
  • [41] ON THE INDEX OF GEOMETRICAL OPERATORS FOR RIEMANNIAN-MANIFOLDS WITH BOUNDARY
    GILKEY, PB
    ADVANCES IN MATHEMATICS, 1993, 102 (02) : 129 - 183
  • [42] Index theorem for equivariant Dirac operators on noncompact manifolds
    Braverman, M
    K-THEORY, 2002, 27 (01): : 61 - 101
  • [43] Products of manifolds with fibered corners
    Chris Kottke
    Frédéric Rochon
    Annals of Global Analysis and Geometry, 2023, 64
  • [44] An example on asymptotic on manifolds with corners
    Harutyunyan, Gohar
    ARMENIAN JOURNAL OF MATHEMATICS, 2010, 3 (01): : 1 - 13
  • [45] Conormal homology of manifolds with corners
    Schick, Thomas
    Velasquez, Mario
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2023, 17 (04) : 1425 - 1436
  • [46] Products of manifolds with fibered corners
    Kottke, Chris
    Rochon, Frederic
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2023, 64 (02)
  • [47] COBORDISM CATEGORIES OF MANIFOLDS WITH CORNERS
    Genauer, Josh
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (01) : 519 - 550
  • [48] On the Frobenius manifolds for cusp singularities
    Takahashi, Atsushi
    Shiraishi, Yuuki
    ADVANCES IN MATHEMATICS, 2015, 273 : 485 - 522
  • [49] Cusp closing of hyperbolic manifolds
    Buyalo, SV
    Kobelskii, VL
    GEOMETRIAE DEDICATA, 1996, 59 (02) : 147 - 156
  • [50] Sobolev Theorems for Cusp Manifolds
    Eichhorn, Juergen
    Wang, Chunpeng
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2013, 32 (04): : 389 - 409