scholarly journals Curvature on determinant bundles and first Chern forms

2003 ◽  
Vol 45 (3-4) ◽  
pp. 393-429 ◽  
Author(s):  
Sylvie Paycha ◽  
Steven Rosenberg
Keyword(s):  
Determinant Bundles ◽  
Chern Forms

Chern Forms and Chern Numbers

Tubes ◽  
2004 ◽  
pp. 85-115
Author(s):  
Alfred Gray
Keyword(s):  
Chern Numbers ◽  
Chern Forms

scholarly journals Chern forms of singular metrics on vector bundles

2018 ◽  
Vol 326 ◽  
pp. 465-489 ◽  
Author(s):  
Richard Lärkäng ◽  
Hossein Raufi ◽  
Jean Ruppenthal ◽  
Martin Sera
Keyword(s):  
Vector Bundles ◽  
Singular Metrics ◽  
Chern Forms

scholarly journals Determinant bundles, boundaries, and surgery

2004 ◽  
Vol 52 (1) ◽  
pp. 28-43 ◽  
Author(s):  
Ulrich Bunke ◽  
Jinsung Park
Keyword(s):  
Determinant Bundles

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 Harmonic total Chern forms and stability

2006 ◽  
Vol 29 (3) ◽  
pp. 346-369 ◽  
Author(s):  
Akito Futaki
Keyword(s):  
Chern Forms

scholarly journals On Bott–Chern forms and their applications

2014 ◽  
Vol 360 (1-2) ◽  
pp. 519-546 ◽  
Author(s):  
Vamsi P. Pingali ◽  
Leon A. Takhtajan
Keyword(s):  
Chern Forms
Sign in / Sign up

Export Citation Format

Share Document