Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Vergne, Michèle"'
Autor:
Baldoni, Velleda, Vergne, Michèle
As shown by P-E Paradan, the set of orbits contained in the sum of two holomorphic orbits in the Lie algebra of U(p,q) is determined by a set of inequalities similar to the Horn inequalities for the sum of conjugacy classes of two Hermitian matrices.
Externí odkaz:
http://arxiv.org/abs/2304.02000
Autor:
Vergne, Michèle, Walter, Michael
In this note we observe that membership in moment cones of spaces of quiver representations can be decided in strongly polynomial time, for any acyclic quiver. This generalizes a recent result by Chindris-Collins-Kline for bipartite quivers. Their ap
Externí odkaz:
http://arxiv.org/abs/2303.14821
Autor:
Vergne, Michele
Let M be a spin manifold with a circular action. Given an elliptic curve E, we introduce, as in Grojnowski, elliptic bouquets of germs of holomorphic equivariant cohomology classes on M. Following Bott-Taubes and Rosu, we show that integration of an
Externí odkaz:
http://arxiv.org/abs/2005.00312
Motivated by applications to multiplicity formulas in index theory, we study a family of distributions $\Theta(m;k)$ associated to a piecewise quasi-polynomial function $m$. The family is indexed by an integer $k \in \mathbb{Z}_{>0}$, and admits an a
Externí odkaz:
http://arxiv.org/abs/1907.01428
Publikováno v:
Pure and Applied Mathematics Quarterly, Vol. 19, No. 4 (2023), pp. 1687-1731
We give inductive conditions that characterize the Schubert positions of subrepresentations of a general quiver representation. Our results generalize Belkale's criterion for the intersection of Schubert varieties in Grassmannians and refine Schofiel
Externí odkaz:
http://arxiv.org/abs/1901.07194
Let G be a complex reductive group acting on a finite-dimensional complex vector space H. Let B be a Borel subgroup of G and let T be the associated torus. The Mumford cone is the polyhedral cone generated by the T-weights of the polynomial functions
Externí odkaz:
http://arxiv.org/abs/1804.00431
Autor:
Paradan, Paul-Emile, Vergne, Michele
In this paper we study asymptotic distributions associated to piecewise quasi-polynomials. The main result obtained here is used in another paper of the authors "The equivariant index of twisted Dirac operators and semi-classical limits".
Externí odkaz:
http://arxiv.org/abs/1708.08283
Autor:
Paradan, Paul-Emile, Vergne, Michele
Consider a spin manifold M, equipped with a line bundle L and an action of a compact Lie group G. We can attach to this data a family Theta(k) of distributions on the dual of the Lie algebra of G. The aim of this paper is to study the asymptotic beha
Externí odkaz:
http://arxiv.org/abs/1708.08226
Autor:
Vergne, Michele
Let G be a torus and M a G-Hamiltonian manifold with Kostant line bundle L and proper moment map. Let P be the weight lattice of G. We consider a parameter k and the multiplicity $m(\lambda,k)$ of the quantized representation associated to M and the
Externí odkaz:
http://arxiv.org/abs/1612.04651
Publikováno v:
Enseign. Math. 63 (2017), 403-470
We give an exposition of the Horn inequalities and their triple role characterizing tensor product invariants, eigenvalues of sums of Hermitian matrices, and intersections of Schubert varieties. We follow Belkale's geometric method, but assume only b
Externí odkaz:
http://arxiv.org/abs/1611.06917