Scissors Congruences, Group Homology and Characteristic Classes

Scissors Congruences, Group Homology and Characteristic Classes
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剪刀同余、群同调和特征类

DOI:
10.1142/4598
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发表时间:
2001
影响因子:
1.4
通讯作者:
J. Dupont
J. Dupont
中科院分区:
数学2区
文献类型:
--
作者:
J. Dupont

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简介和历史剪刀同余群和同调旗复形的同调平移剪刀同余欧几里得剪刀同余Sydler定理和非交换微分形式球面剪刀同余双曲剪刀同余李群的同调在Cheeger-Chern的球面和双曲3-空间刚性中使离散不变单形Simons不变量,射影构形和射影线性群的同调,不可分解构形的同调,PGI(3,F)情形。
Introduction and history scissors congruence group and homology homology of flag complexes translational scissors congruences Euclidean scissors congruences Sydler's theorem and non-commutative differential forms spherical scissors congruences hyperbolic scissors congruences homology of Lie groups made discrete invariants simplices in spherical and hyperbolic 3-space rigidity of Cheeger-Chern-Simons invariants projective configurations and homology of the projective linear group homology of indecomposable configurations the case of PGI(3,F).