Tautological characteristic classes, I

被引：0
作者：
Ymara, Jan [1 ]
Anuszkiewicz, Tadeusz
机构：
[1] Uniwersytet Wroclawski, Inst Matemat, Wroclaw, Poland
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2024年 / 24卷 / 05期
关键词：
VOLUME;
D O I：
10.2140/agt.2024.24.2889
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the formalism of tautological characteristic classes of flat bundles. Applied to PSL(2, K), it yields the Witt class of Nekovar. Applied to PGL(+) (2n, K), the general linear groups with positive determinant over an arbitrary ordered field, it yields (a generalization of) the Euler class.
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页码：2889 / 2932
页数：47
相关论文
共 15 条
  • [1] [Anonymous], 2003, Springer Monographs in Mathematics
  • [2] Tetrahedra of flags, volume and homology of SL(3)
    Bergeron, Nicolas
    Falbel, Elisha
    Guilloux, Antonin
    [J]. GEOMETRY & TOPOLOGY, 2014, 18 (04) : 1911 - 1971
  • [3] Brown K. S., 1994, Graduate Texts in Mathematics, V87, DOI [10.1007/978-1-4684-9327-6, DOI 10.1007/978-1-4684-9327-6]
  • [4] Dugundji J, 1958, Trans. Amer. Math. Soc., V89, P408
  • [5] Elman R., 2008, AM MATH SOC COLLOQ P, V56
  • [6] Ghys E., 1987, CONT MATH, P81
  • [7] GROMOV M, 1982, PUBL MATH-PARIS, P5
  • [8] Hatcher A., 2001, ALGEBRAIC TOPOLOGY
  • [9] A Maslov cocycle for unitary groups
    Kramer, Linus
    Tent, Katrin
    [J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2010, 100 : 91 - 115
  • [10] Loh C, 2010, Group cohomology & bounded cohomology: an introduction for topologists, book project
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