scholarly journals Chern characters in equivariant basic cohomology

2021 ◽  
Vol 359 (1) ◽  
pp. 1-5
Author(s):  
Wenran Liu
Author(s):  
Francisco C. Caramello ◽  
Dirk Töben
Keyword(s):  

1991 ◽  
Vol 40 (2) ◽  
pp. 177-188 ◽  
Author(s):  
Luis A. Cordero ◽  
Robert A. Wolak
Keyword(s):  

1996 ◽  
Vol 114 (1) ◽  
pp. 39-50 ◽  
Author(s):  
Michel Dubois-Violette ◽  
Thierry Masson

1994 ◽  
Vol 37 (3) ◽  
pp. 477-482 ◽  
Author(s):  
T. J. Hodges ◽  
M. P. Holland

Let D be the factor of the enveloping algebra of a semisimple Lie algebra by its minimal primitive ideal with trival central character. We give a geometric description of the Chern character ch: K0(D)→HC0(D) and the state (of the maximal ideal m) s: K0(D)→K0(D/m) = ℤ in terms of the Euler characteristic χ:K0()→ℤ, where is the associated flag variety.


1995 ◽  
Vol 36 (9) ◽  
pp. 5110-5138 ◽  
Author(s):  
Bo‐Yu Hou ◽  
Bo‐Yuan Hou ◽  
Zhong‐Qi Ma

2013 ◽  
Vol 94 (1) ◽  
pp. 1-37
Author(s):  
PIERRE ALBIN ◽  
FRÉDÉRIC ROCHON

AbstractWe study natural families of $\bar {\partial } $-operators on the moduli space of stable parabolic vector bundles. Applying a families index theorem for hyperbolic cusp operators from our previous work, we find formulae for the Chern characters of the associated index bundles. The contributions from the cusps are explicitly expressed in terms of the Chern characters of natural vector bundles related to the parabolic structure. We show that our result implies formulae for the Chern classes of the associated determinant bundles consistent with a result of Takhtajan and Zograf.


2003 ◽  
Vol 575 (3-4) ◽  
pp. 349-357
Author(s):  
B. Geyer ◽  
D. Mülsch

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