scholarly journals A K-theoretic relative index theorem and Callias-type Dirac operators

1995 ◽  
Vol 303 (1) ◽  
pp. 241-279 ◽  
Author(s):  
Ulrich Bunke
Keyword(s):  
Dirac Operators ◽  
Index Theorem ◽  
Relative Index

scholarly journals An L2-Index Theorem for Dirac Operators on S1×R3

2000 ◽  
Vol 177 (1) ◽  
pp. 203-218 ◽  
Author(s):  
Tom M.W. Nye ◽  
Michael A. Singer
Keyword(s):  
Dirac Operators ◽  
Index Theorem ◽  
L2 Index

scholarly journals An orbifold relative index theorem

2007 ◽  
Vol 57 (8) ◽  
pp. 1653-1668 ◽  
Author(s):  
Carla Farsi
Keyword(s):  
Index Theorem ◽  
Relative Index

scholarly journals Relative index theorem in K-homology

2015 ◽  
Vol 49 (4) ◽  
pp. 311-314
Author(s):  
V. E. Nazaikinskii
Keyword(s):  
Index Theorem ◽  
Relative Index

scholarly journals GENERALIZED GINSPARG–WILSON ALGEBRA AND INDEX THEOREM ON THE LATTICE

2002 ◽  
Vol 16 (14n15) ◽  
pp. 1931-1941
Author(s):  
KAZUO FUJIKAWA
Keyword(s):  
General Class ◽  
Dirac Operators ◽  
Index Theorem ◽  
Explicit Construction ◽  
Negative Integer ◽  
Chiral Anomaly ◽  
Gauge Fields ◽  
Topological Properties

Recent studies of the topological properties of a general class of lattice Dirac operators are reported. This is based on a specific algebraic realization of the Ginsparg-Wilson relation in the form γ5 (γ5D) + (γ5D)γ5 = 2a2k+1(γ5D)2k+2 where k stands for a non-negative integer. The choice k = 0 corresponds to the commonly discussed Ginsparg-Wilson relation and thus to the overlap operator. It is shown that local chiral anomaly and the instanton-related index of all these operators are identical. The locality of all these Dirac operators for vanishing gauge fields is proved on the basis of explicit construction, but the locality with dynamical gauge fields has not been fully established yet.

Glueing Constructions. Relative Index Theorem

1993 ◽  
pp. 59-63
Author(s):  
Bernhelm Booß-Bavnbek ◽  
Krzysztof P. Wojciechowski
Keyword(s):  
Index Theorem ◽  
Relative Index

scholarly journals An index theorem for non-standard Dirac operators

1999 ◽  
Vol 16 (7) ◽  
pp. 2537-2544 ◽  
Author(s):  
Jan-Willem van Holten ◽  
Andrew Waldron ◽  
Kasper Peeters
Keyword(s):  
Dirac Operators ◽  
Index Theorem
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