scholarly journals A higher index theorem for foliated manifolds with boundary

2012 ◽  
Vol 136 (2) ◽  
pp. 201-238 ◽  
Author(s):  
Mostafa Esfahani Zadeh
Keyword(s):  
Index Theorem ◽  
Manifolds With Boundary ◽  
Foliated Manifolds

scholarly journals An index theorem for manifolds with boundary

2009 ◽  
Vol 347 (23-24) ◽  
pp. 1393-1398 ◽  
Author(s):  
Paulo Carrillo-Rouse ◽  
Bertrand Monthubert
Keyword(s):  
Index Theorem ◽  
Manifolds With Boundary

Axial anomaly and index theorem for manifolds with boundary

1985 ◽  
Vol 257 ◽  
pp. 199-225 ◽  
Author(s):  
Masao Ninomiya ◽  
Chung-I Tan
Keyword(s):  
Index Theorem ◽  
Manifolds With Boundary ◽  
Axial Anomaly

scholarly journals Index Classes for Vector Fields and their Relation to Certain Characteristic Classes

2013 ◽  
Vol 112 (2) ◽  
pp. 216
Author(s):  
Oskar Hamlet
Keyword(s):  
Vector Fields ◽  
Euler Class ◽  
Index Theorem ◽  
Characteristic Classes ◽  
Manifolds With Boundary

While studying vector fields on manifolds with boundary there are three important indexes to consider. We construct three cohomology classes to compute these. We relate these classes to other classes, the relative Euler class as defined by Sharafutdinov and the secondary Chern-Euler class as defined by Sha. Our results also yield a new proof of the Poincaré-Hopf index theorem.

Sign in / Sign up

Export Citation Format

Share Document