LOCALIZATION OF CHERN-SIMONS TYPE INVARIANTS OF RIEMANNIAN FOLIATIONS

Goertsches Oliver; Nozawa Hiraku; Toben Dirk

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LOCALIZATION OF CHERN-SIMONS TYPE INVARIANTS OF RIEMANNIAN FOLIATIONS

机译：Chern-Simons的本地化类型Riemannian叶片的不变性

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摘要

We prove an Atiyah-Bott-Berline-Vergne type localization formula for Killing foliations in the context of equivariant basic cohomology. As an application, we localize some Chern-Simons type invariants, for example the volume of Sasakian manifolds and secondary characteristic classes of Riemannian foliations, to the union of closed leaves. Various examples are given to illustrate our method.

机译：我们证明了ATIYAH-BOTLLINE-VERGNE类型的本地化公式，用于杀害叶片在等效基本同学的背景下。作为一个应用程序，我们本地化了一些Chern-Simons类型不变，例如Sasakian歧管的卷和黎曼叶片的次要特征类，到闭合叶的联盟。给出各种例子来说明我们的方法。

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《Israel Journal of Mathematics》 |2017年第2期|共54页
作者
Goertsches Oliver; Nozawa Hiraku; Toben Dirk;
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作者单位

Philipps Univ Marburg Fachbereich Math &

Informat Hans Meerwein Str D-35032 Marburg Germany;

Ritsumeikan Univ Dept Math Sci Coll Sci &

Engn 1-1-1 Nojihigashi Shiga 5258577 Japan;

Univ Fed Sao Carlos Dept Matemat Rod Washington Luis Km 235 CP 676 BR-13565905 Sao Carlos SP Brazil;

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正文语种 eng
中图分类数学;
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专利

1. LOCALIZATION OF CHERN-SIMONS TYPE INVARIANTS OF RIEMANNIAN FOLIATIONS [J] . Goertsches Oliver, Nozawa Hiraku, Toben Dirk Israel Journal of Mathematics . 2017,第Pta2期

机译：Chern-Simons的本地化类型Riemannian叶片的不变性
2. Wave Invariants of the Spectrum of the G-Invariant Laplacian and the Basic Spectrum of a Riemannian Foliation [J] . Sandoval MR Communications in Partial Differential Equations . 2008,第10a12期

机译：G不变拉普拉斯谱的波不变量和黎曼叶面的基本谱
3. Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4 [J] . Kordyukov Yuri, Lejmi Mehdi, Weber Patrick Journal of geometry and physics . 2016,第Null期

机译：具有余维4的黎曼叶面的流形上的Seiberg-Witten不变量
4. Classical and Quantum Dynamics inTransverse Geometry of Riemannian Foliations [C] . Yuri A. Kordyukov proceedings of the Spectrum and dynamics . 2010

机译：黎曼叶片的古典和量子动态Intransstope几何
5. Invariant manifolds, invariant foliations and linearization theorems in Banach spaces. [D] . Tan, Bin. 1998

机译：Banach空间中的不变流形，不变叶面和线性化定理。
6. Efficient endosomal localization of major histocompatibility complex class II-invariant chain complexes requires multimerization of the invariant chain targeting sequence [O] . 1995

机译：主要组织相容性复合物II类不变链复合物的有效内体定位需要不变链靶向序列的多聚化
7. Localization of Chern-Simons type invariants of Riemannian foliations [O] . Goertsches, Oliver, Nozawa, Hiraku, Toeben, Dirk 2015

机译：黎曼叶的Chern-simons型不变量的局部化
8. Noncommutative Spectral Geometry of Riemannian Foliations [R] . Kordyukov, Y. A. 1996

机译：黎曼叶的非交换谱几何

LOCALIZATION OF CHERN-SIMONS TYPE INVARIANTS OF RIEMANNIAN FOLIATIONS

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