Twisted Chern classes a-gerbes
Using the language of stacks one can give a simple definition of functorial Chern classes for twisted sheaves. Calculating the cohomology ring of a-gerbe we observe that the twisted Chern classes used by Huybrechts and Stellari are specializations of these classes. We describe explicitly the relatio...
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| Veröffentlicht in: | Comptes rendus. Mathématique 2005-11, Vol.341 (10), p.623-626 |
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| Format: | Artikel |
| Sprache: | eng ; fre |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Using the language of stacks one can give a simple definition of functorial Chern classes for twisted sheaves. Calculating the cohomology ring of a-gerbe we observe that the twisted Chern classes used by Huybrechts and Stellari are specializations of these classes. We describe explicitly the relation between the choice of a cocycle in the definition of twisted sheaves and the 2-categorical structure of-gerbes. |
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| ISSN: | 1631-073X 1778-3569 |
| DOI: | 10.1016/j.crma.2005.09.041 |