Marius Crainic,João Nuno Mestre
Marius Crainic
We present some features of the smooth structure and of the canonical stratification on the orbit space of a proper Lie groupoid. One of the main features is that of Morita invariance of these structures-it allows us to talk about the canon...
Normal forms for Poisson maps and symplectic groupoids around Poisson transversals [0.03%]
Poisson化形与Poisson横截集附近的辛群胚理论
Pedro Frejlich,Ioan Mărcuț
Pedro Frejlich
Poisson transversals are submanifolds in a Poisson manifold which intersect all symplectic leaves transversally and symplectically. In this communication, we prove a normal form theorem for Poisson maps around Poisson transversals. A Poisso...
Gwyn Bellamy,Travis Schedler
Gwyn Bellamy
We prove a conjecture which expresses the bigraded Poisson-de Rham homology of the nilpotent cone of a semisimple Lie algebra in terms of the generalized (one-variable) Kostka polynomials, via a formula suggested by Lusztig. This allows us ...
Pavel Etingof,Travis Schedler
Pavel Etingof
We survey the theory of Poisson traces (or zeroth Poisson homology) developed by the authors in a series of recent papers. The goal is to understand this subtle invariant of (singular) Poisson varieties, conditions for it to be finite-dimen...
Brent Pym
Brent Pym
This paper is intended both as an introduction to the algebraic geometry of holomorphic Poisson brackets, and as a survey of results on the classification of projective Poisson manifolds that have been obtained in the past 20 years. It is b...
Un-reduction in field theory [0.03%]
场论中的不可约性
Alexis Arnaudon,Marco Castrillón López,Darryl D Holm
Alexis Arnaudon
The un-reduction procedure introduced previously in the context of classical mechanics is extended to covariant field theory. The new covariant un-reduction procedure is applied to the problem of shape matching of images which depend on mor...
Fabrizio Nieri
Fabrizio Nieri
We define an elliptic deformation of the Virasoro algebra. We conjecture that the [Formula: see text] Nekrasov partition function reproduces the chiral blocks of this algebra. We support this proposal by showing that at special points in th...
Spectral stability of periodic waves in the generalized reduced Ostrovsky equation [0.03%]
广义约简Ostrovsky方程中周期波的谱稳定性
Anna Geyer,Dmitry E Pelinovsky
Anna Geyer
We consider stability of periodic travelling waves in the generalized reduced Ostrovsky equation with respect to co-periodic perturbations. Compared to the recent literature, we give a simple argument that proves spectral stability of all s...