scholarly journals Chern characters in equivariant basic cohomology

2021 ◽  
Vol 359 (1) ◽  
pp. 1-5
Author(s):  
Wenran Liu
Keyword(s):  
Basic Cohomology ◽  
Chern Characters

scholarly journals Equivariant basic cohomology under deformations

2021 ◽  
Author(s):  
Francisco C. Caramello ◽  
Dirk Töben
Keyword(s):  
Basic Cohomology

Properties of the basic cohomology of transversely Kähler foliations

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

scholarly journals Basic cohomology of associative algebras

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

scholarly journals Chern characters, reduced ranks and -modules on the flag variety

1994 ◽  
Vol 37 (3) ◽  
pp. 477-482 ◽  
Author(s):  
T. J. Hodges ◽  
M. P. Holland
Keyword(s):  
Lie Algebra ◽  
Euler Characteristic ◽  
Maximal Ideal ◽  
Chern Character ◽  
Flag Variety ◽  
Central Character ◽  
Geometric Description ◽  
Semisimple Lie Algebra ◽  
Enveloping Algebra ◽  
Chern Characters

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.

scholarly journals q‐deformed Chern characters for quantum groups SUq(N)

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

scholarly journals SOME INDEX FORMULAE ON THE MODULI SPACE OF STABLE PARABOLIC VECTOR BUNDLES

2013 ◽  
Vol 94 (1) ◽  
pp. 1-37
Author(s):  
PIERRE ALBIN ◽  
FRÉDÉRIC ROCHON
Keyword(s):  
Moduli Space ◽  
Vector Bundles ◽  
Index Theorem ◽  
Chern Classes ◽  
Chern Characters ◽  
Natural Vector ◽  
Parabolic Structure ◽  
Determinant Bundles ◽  
Natural Families

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.

scholarly journals The basic cohomology of the twisted N=16, D=2 super-Maxwell theory

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