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pro vyhledávání: '"Balibanu, Ana"'
Autor:
Balibanu, Ana
We construct an analogue of Whittaker reduction for Poisson actions of a semisimple complex Poisson-Lie group G. The reduction takes place along a class of transversal slices to unipotent orbits in G, which are generalizations of the Steinberg cross-
Externí odkaz:
http://arxiv.org/abs/2410.10785
Autor:
Balibanu, Ana
These are expanded lecture notes from the author's minicourse at the 2022 Poisson Geometry Summer School, which took place at the Centre de Recerca Matematica in Barcelona, Spain. After giving a general introduction to wonderful varieties, and an exp
Externí odkaz:
http://arxiv.org/abs/2307.06663
Autor:
Balibanu, Ana, Mayrand, Maxence
We develop a general procedure for reduction along strong Dirac maps, which are a broad generalization of Poisson momentum maps. We recover a large number of familiar constructions in Poisson and quasi-Poisson geometry, and we introduce new examples
Externí odkaz:
http://arxiv.org/abs/2210.07200
Autor:
Balibanu, Ana
In this note we show that the multiplicative Grothendieck-Springer space has a natural quasi-Poisson structure. The associated group-valued moment map is the resolution morphism, and the quasi-Hamiltonian leaves are the connected components of the pr
Externí odkaz:
http://arxiv.org/abs/2210.07195
Autor:
Balibanu, Ana
We define a class of transversal slices in spaces which are quasi-Poisson for the action of a complex semisimple group G. This is a multiplicative analogue of Whittaker reduction. One example is the multiplicative universal centralizer of G, which is
Externí odkaz:
http://arxiv.org/abs/2103.14704
Autor:
Balibanu, Ana, Crooks, Peter
We use the Springer correspondence to give a partial characterization of the irreducible representations which appear in the Tymoczko dot-action of the Weyl group on the cohomology ring of a regular semisimple Hessenberg variety. In type A, we apply
Externí odkaz:
http://arxiv.org/abs/2004.07970
Autor:
Balibanu, Ana
The universal centralizer of a semisimple algebraic group is the family of centralizers of regular elements, parametrized by their conjugacy classes. When the group is of adjoint type, we construct a smooth, log-symplectic fiberwise compactification
Externí odkaz:
http://arxiv.org/abs/1710.06327
Autor:
Balibanu, Ana
We look at the centralizer in a semisimple algebraic group $G$ of a regular nilpotent element, and show that its closure in the wonderful compactification is isomorphic to the Peterson variety. It follows that the closure in the wonderful compactific
Externí odkaz:
http://arxiv.org/abs/1508.01479
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