Index Theorems

1996 ◽  
pp. 155-251 ◽  
Author(s):  
B. V. Fedosov
Keyword(s):  
Index Theorems

scholarly journals On a generalized Petrieʼs conjecture via index theorems

2013 ◽  
Vol 160 (12) ◽  
pp. 1353-1363 ◽  
Author(s):  
Jin Hong Kim
Keyword(s):  
Index Theorems

scholarly journals Index theorem for non-supersymmetric fermions coupled to a non-Abelian string and electric charge quantization

2018 ◽  
Vol 33 (09) ◽  
pp. 1850053
Author(s):  
M. Shifman ◽  
A. Yung
Keyword(s):  
Gauge Group ◽  
Electric Charge ◽  
Index Theorem ◽  
Index Theorems ◽  
Zero Modes ◽  
Left Handed ◽  
Charge Quantization ◽  
Supersymmetric Theories ◽  
String Background

Non-Abelian strings are considered in non-supersymmetric theories with fermions in various appropriate representations of the gauge group U[Formula: see text]. We derive the electric charge quantization conditions and the index theorems counting fermion zero modes in the string background both for the left-handed and right-handed fermions. In both cases we observe a non-trivial [Formula: see text] dependence.

scholarly journals On the index of Dirac operators on arithmetic quotients

1997 ◽  
Vol 56 (3) ◽  
pp. 489-497 ◽  
Author(s):  
Anton Deitmar
Keyword(s):  
Trace Formula ◽  
Special Interest ◽  
Error Term ◽  
Dirac Operators ◽  
Index Formula ◽  
Real Rank ◽  
Present Evidence ◽  
Index Theorems ◽  
Compact Case ◽  
Rational Rank

The aim of this note is to show how the trace formula of Arthur-Selberg can be used to derive index theorems for noncompact arithmetic manifolds. Of special interest is the question, under which circumstances there is an index formula without error term, that is, of the same shape as in the compact case. We shall thus present evidence for the hypothesis that the error term for the Euler operator vanishes in the case that the rational rank is smaller than the real rank.

scholarly journals Index theorems for holomorphic maps and foliations

2008 ◽  
Vol 57 (7) ◽  
pp. 2999-3048 ◽  
Author(s):  
Marco Abate ◽  
Filippo Bracci ◽  
Francesca Tovena
Keyword(s):  
Holomorphic Maps ◽  
Index Theorems

scholarly journals Index theorems on torsional geometries

2007 ◽  
Vol 2007 (08) ◽  
pp. 048-048 ◽  
Author(s):  
Tetsuji Kimura
Keyword(s):  
Index Theorems

scholarly journals Positive Solutions for a Class of Third-Order Three-Point Boundary Value Problem

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
Xiaojie Lin ◽  
Zhengmin Fu
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Fixed Point Index ◽  
Boundary Value ◽  
Positive Parameter ◽  
Point Boundary ◽  
Point Index ◽  
Third Order ◽  
Index Theorems ◽  
Existence Of Positive Solutions

We investigate the problem of existence of positive solutions for the nonlinear third-order three-point boundary value problemu‴(t)+λa(t)f(u(t))=0,0<t<1,u(0)=u′(0)=0,u″(1)=∝u″(η), whereλis a positive parameter,∝∈(0,1),η∈(0,1),f:(0,∞)→(0,∞),a:(0,1)→(0,∞)are continuous. Using a specially constructed cone, the fixed point index theorems and Leray-Schauder degree, this work shows the existence and multiplicities of positive solutions for the nonlinear third-order boundary value problem. Some examples are given to demonstrate the main results.

Sign in / Sign up

Export Citation Format

Share Document