scholarly journals ‘ON DIFFERENTIAL CHARACTERISTIC CLASSES’

2016 ◽  
Vol 101 (1) ◽  
pp. 54-55
Author(s):  
MAN-HO HO
Keyword(s):  
Characteristic Classes ◽  
Differential Characteristic

In this erratum we correct a mistake in Ho [‘On differential characteristic classes’, J. Aust. Math. Soc.99(1) (2015), 30–47].

scholarly journals ON DIFFERENTIAL CHARACTERISTIC CLASSES

2014 ◽  
Vol 99 (1) ◽  
pp. 30-47 ◽  
Author(s):  
MAN-HO HO
Keyword(s):  
Explicit Formula ◽  
Chern Class ◽  
Natural Transformation ◽  
Euler Class ◽  
Characteristic Classes ◽  
Characteristic Class ◽  
Chern Classes ◽  
Explicit Formulas ◽  
Differential Characteristic ◽  
Differential Characters

In this paper we give explicit formulas for differential characteristic classes of principal $G$-bundles with connections and prove their expected properties. In particular, we obtain explicit formulas for differential Chern classes, differential Pontryagin classes and the differential Euler class. Furthermore, we show that the differential Chern class is the unique natural transformation from (Simons–Sullivan) differential $K$-theory to (Cheeger–Simons) differential characters that is compatible with curvature and characteristic class. We also give the explicit formula for the differential Chern class on Freed–Lott differential $K$-theory. Finally, we discuss the odd differential Chern classes.

On the Buchstaber Subring in MSp∗

1998 ◽  
Vol 5 (5) ◽  
pp. 401-414
Author(s):  
M. Bakuradze
Keyword(s):  
Tensor Product ◽  
Characteristic Classes ◽  
Generalized Quaternion ◽  
Symplectic Cobordisms

Abstract A formula is given to calculate the last n number of symplectic characteristic classes of the tensor product of the vector Spin(3)- and Sp(n)-bundles through its first 2n number of characteristic classes and through characteristic classes of Sp(n)-bundle. An application of this formula is given in symplectic cobordisms and in rings of symplectic cobordisms of generalized quaternion groups.

On killing characteristic classes by cobordism

1979 ◽  
Vol 29 (1) ◽  
pp. 85-92 ◽  
Author(s):  
Stavros Papastavridis
Keyword(s):  
Characteristic Classes
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