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The signature of generalized flag manifolds and applications

✍ Scribed by Ping Li; Yang Su


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
175 KB
Volume
26
Category
Article
ISSN
1439-7617

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πŸ“œ SIMILAR VOLUMES


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✍ Corrado Marastoni πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 103 KB

Let G be a connected semisimple algebraic group over C, P a parabolic subgroup, g and p their Lie algebras. We prove a microlocal version of Gyoja's conjectures [2] about a relation between the irreducibility of generalized Verma modules on g induced from p and the zeroes of b-functions of P -semi-i

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✍ JΓΌrgen Berndt; Sergio Console; Anna Fino πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 80 KB

The k-number of a complex flag manifold and the index number of a real flag manifold is known to be equal to the sum of the Z 2 -Betti numbers of the manifold. We give an interpretation and alternative proofs of these results in the framework of symplectic topology and Morse theory.