منابع مشابه
The Kirwan map , equivariant Kirwan maps , and their kernels Lisa
Consider a Hamiltonian action of a compact Lie group K on a compact symplectic manifold. We find descriptions of the kernel of the Kirwan map corresponding to a regular value of the moment map κK . We start with the case when K is a torus T : we determine the kernel of the equivariant Kirwan map (defined by Goldin in [Go]) corresponding to a generic circle S ⊂ T , and show how to recover from t...
متن کاملThe Kirwan map , equivariant Kirwan maps , and their kernels
Consider a Hamiltonian action of a compact Lie group K on a compact symplectic manifold. We find descriptions of the kernel of the Kirwan map corresponding to a regular value of the moment map κK . We start with the case when K is a torus T : we determine the kernel of the equivariant Kirwan map (defined by Goldin in [Go]) corresponding to a generic circle S ⊂ T , and show how to recover from t...
متن کاملPositivity of Equivariant Schubert Classes through Moment Map Degeneration
For a flag manifold M = G/B with the canonical torus action, the T−equivariant cohomology is generated by equivariant Schubert classes, with one class τu for every element u of the Weyl group W . These classes are determined by their restrictions to the fixed point set M ≃ W , and the restrictions are polynomials with nonnegative integer coefficients in the simple roots. The main result of this...
متن کاملHom-Lie Superalgebras and Hom-Lie admissible Superalgebras
The purpose of this paper is to study Hom-Lie superalgebras, that is a superspace with a bracket for which the superJacobi identity is twisted by a homomorphism. This class is a particular case of Γ-graded quasi-Lie algebras introduced by Larsson and Silvestrov. In this paper, we characterize Hom-Lie admissible superalgebras and provide a construction theorem from which we derive a one paramete...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2014
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-013-1261-7