Index Theorems and Noncommutative Topology

2008 ◽  
pp. 183-229
Author(s):  
T. Fack
Keyword(s):  
Index Theorems ◽  
Noncommutative Topology

scholarly journals Noncommutative topology and Jordan operator algebras

2018 ◽  
Vol 292 (3) ◽  
pp. 481-510 ◽  
Author(s):  
David P. Blecher ◽  
Matthew Neal
Keyword(s):  
Operator Algebras ◽  
Noncommutative Topology

Noncommutative Topology: Spaces

2001 ◽  
pp. 3-47
Author(s):  
José M. Gracia-Bondía ◽  
Joseph C. Várilly ◽  
Héctor Figueroa
Keyword(s):  
Noncommutative Topology

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
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