A chiral Borel–Weil–Bott theorem
| Autor: | Fyodor Malikov, Tomoyuki Arakawa |
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| Rok vydání: | 2012 |
| Předmět: |
Pure mathematics
Mathematics(all) Elliptic genus Derived functor General Mathematics Borel–Weil–Bott theorem Differential operator Affine Lie algebra Cohomology Character (mathematics) Representations at the critical level Genus (mathematics) Generalized flag variety Chiral differential operators Mathematics |
| Zdroj: | Advances in Mathematics. 229(5):2908-2949 |
| ISSN: | 0001-8708 |
| DOI: | 10.1016/j.aim.2011.11.002 |
| Popis: | We compute the cohomology of modules over the algebra of twisted chiral differential operators over the flag manifold. This is applied to (1) finding the character of G -integrable irreducible highest weight modules over the affine Lie algebra at the critical level, and (2) computing a certain elliptic genus of the flag manifold. The main tool is a result that interprets the Drinfeld–Sokolov reduction as a derived functor. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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