A note on the Kervaire semi-characteristic

2021 ◽  
pp. 2140004
Author(s):  
Weiping Zhang
Keyword(s):  
Real Coefficient ◽  
Orientable Manifolds

We present a potential generalization of the Kervarie semi-characteristic (with real coefficient) to the case of non-orientable manifolds.

Euler classes of vector bundles over manifolds

2021 ◽  
Vol 71 (1) ◽  
pp. 199-210
Author(s):  
Aniruddha C. Naolekar
Keyword(s):  
Vector Bundle ◽  
Vector Bundles ◽  
Euler Class ◽  
Homology Sphere ◽  
Rational Homology ◽  
Rational Homology Sphere ◽  
Orientable Manifolds

Abstract Let 𝓔 k denote the set of diffeomorphism classes of closed connected smooth k-manifolds X with the property that for any oriented vector bundle α over X, the Euler class e(α) = 0. We show that if X ∈ 𝓔2n+1 is orientable, then X is a rational homology sphere and π 1(X) is perfect. We also show that 𝓔8 = ∅ and derive additional cohomlogical restrictions on orientable manifolds in 𝓔 k .

scholarly journals An Algebraic Criterion of Zero Solutions of Some Dynamic Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Ying Wang ◽  
Baodong Zheng ◽  
Chunrui Zhang
Keyword(s):  
Dynamic Systems ◽  
Real Coefficient ◽  
Coupled Systems ◽  
Decomposition Technique ◽  
Exponential Polynomials ◽  
Basic Theorem ◽  
Algebraic Criterion ◽  
The Stability

We establish some algebraic results on the zeros of some exponential polynomials and a real coefficient polynomial. Based on the basic theorem, we develop a decomposition technique to investigate the stability of two coupled systems and their discrete versions, that is, to find conditions under which all zeros of the exponential polynomials have negative real parts and the moduli of all roots of a real coefficient polynomial are less than 1.

scholarly journals REAL-COEFFICIENT FGG-FG-FFT FOR THE COMBINED FIELD INTEGRAL EQUATION

2017 ◽  
Vol 54 ◽  
pp. 19-27 ◽  
Author(s):  
Hua-Long Sun ◽  
Chuang Ming Tong ◽  
Peng Peng ◽  
Gao Xiang Zou ◽  
Gui Long Tian
Keyword(s):  
Integral Equation ◽  
Real Coefficient ◽  
Field Integral

Quantizing models of (2+1)-dimensional gravity on non-orientable manifolds

2014 ◽  
Vol 31 (5) ◽  
pp. 055008
Author(s):  
Si Chen ◽  
Donald M Witt ◽  
Steven S Plotkin
Keyword(s):  
Dimensional Gravity ◽  
Orientable Manifolds

scholarly journals An Improved Distributed Equivalent Circuit Modeling for RF Components by Real-Coefficient AFS Technique

2011 ◽  
Vol 6 (3) ◽  
pp. 408-413 ◽  
Author(s):  
Koon-Tae Kim ◽  
Jae-Hyeong Ko ◽  
Hyun Paek ◽  
Sung-Tek Kahng ◽  
Hyeong-Seok Kim
Keyword(s):  
Equivalent Circuit ◽  
Real Coefficient ◽  
Circuit Modeling ◽  
Rf Components ◽  
Equivalent Circuit Modeling
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