[图书][B] Lectures on Poisson geometry

M Crainic, RL Fernandes, I Mărcuţ - 2021 - books.google.com
This excellent book will be very useful for students and researchers wishing to learn the
basics of Poisson geometry, as well as for those who know something about the subject but …

An analogue of Whittaker reduction for group-valued moment maps

A Balibanu - arXiv preprint arXiv:2410.10785, 2024 - arxiv.org
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 …

Dirac products and concurring Dirac structures

P Frejlich, DM Torres - arXiv preprint arXiv:2412.16342, 2024 - arxiv.org
We discuss in this note two dual canonical operations on Dirac structures $ L $ and $ R $--
the\emph {tangent product} $ L\star R $ and the\emph {cotangent product} $ L\circledast R …

The Poisson saturation of coregular submanifolds

S Geudens - International Mathematics Research Notices, 2023 - academic.oup.com
This paper is devoted to coregular submanifolds in Poisson geometry. We show that their
local Poisson saturation is an embedded Poisson submanifold, and we give a normal form …

Partial differential equations from matrices with orthogonal columns

DM Torres - Revista Matemática Iberoamericana, 2024 - ems.press
We discuss a system of third order PDEs for strictly convex smooth functions on domains of
Euclidean space. We argue that it may be understood as the closure of the first order …

[PDF][PDF] A BRIEF INTRODUCTION TO POISSON GEOMETRY

H BURSZTYN - w3.impa.br
These notes are based on an introductory minicourse on Poisson geometry given at CRM,
Barcelona, in July 2022. They mostly contain foundational material, including motivating …

PDEs from matrices with orthogonal columns

DM Torres - arXiv preprint arXiv:2106.13080, 2021 - arxiv.org
We discuss a system of third order PDEs for strictly convex smooth functions on domains of
Euclidean space. We argue that it may be understood as a closure of sorts of the first order …

[PDF][PDF] On Submanifolds and Deformations in Poisson Geometry

S Geudens - 2021 - lirias.kuleuven.be
On Submanifolds and Deformations in Poisson Geometry Page 1 ARENBERG DOCTORAL
SCHOOL Faculty of Science On Submanifolds and Deformations in Poisson Geometry Stephane …