Poisson manifolds of compact types (PMCT 1)
M Crainic, RL Fernandes… - Journal für die reine und …, 2019 - degruyter.com
This is the first in a series of papers dedicated to the study of Poisson manifolds of compact
types (PMCTs). This notion encompasses several classes of Poisson manifolds defined via …
types (PMCTs). This notion encompasses several classes of Poisson manifolds defined via …
Integrable systems, symmetries, and quantization
D Sepe, S Vũ Ngọc - Letters in Mathematical Physics, 2018 - Springer
These notes are an expanded version of a mini-course given at the Poisson 2016
conference in Geneva. Starting from classical integrable systems in the sense of Liouville …
conference in Geneva. Starting from classical integrable systems in the sense of Liouville …
Orbispaces as differentiable stratified spaces
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 …
orbit space of a proper Lie groupoid. One of the main features is that of Morita invariance of …
On integrable systems & rigidity for pdes with symmetry
R Wang - arXiv preprint arXiv:1712.00808, 2017 - arxiv.org
This thesis is divided into two parts. In the first part we study completely integrable systems,
and their underlying structures, in detail. We study their deformation theory and the different …
and their underlying structures, in detail. We study their deformation theory and the different …
Constraint Reduction in Algebra, Geometry and Deformation Theory
M Dippell - arXiv preprint arXiv:2310.05613, 2023 - arxiv.org
To study coisotropic reduction in the context of deformation quantization we introduce
constraint manifolds and constraint algebras as the basic objects encoding the additional …
constraint manifolds and constraint algebras as the basic objects encoding the additional …
On the classification of multiplicity-free Hamiltonian actions by regular proper symplectic groupoids
M Mol - arXiv preprint arXiv:2401.00570, 2023 - arxiv.org
In this paper we study a natural generalization of symplectic toric manifolds in the context of
regular Poisson manifolds of compact types. To be more precise, we consider a class of …
regular Poisson manifolds of compact types. To be more precise, we consider a class of …
Measures on differentiable stacks
We introduce and study measures and densities (geometric measures) on differentiable
stacks, using a rather straightforward generalization of Haefliger's approach to leaf spaces …
stacks, using a rather straightforward generalization of Haefliger's approach to leaf spaces …
Faithful semitoric systems
S Hohloch, S Sabatini, D Sepe, M Symington - … Symmetry, Integrability and …, 2018 - emis.de
This paper consists of two parts. The first provides a review of the basic properties of
integrable and almost-toric systems, with a particular emphasis on the integral affine …
integrable and almost-toric systems, with a particular emphasis on the integral affine …
The Serre spectral sequence of a Lie subalgebroid
I Mărcuţ, A Schüßler - arXiv preprint arXiv:2405.00419, 2024 - arxiv.org
We study a spectral sequence approximating Lie algebroid cohomology associated to a Lie
subalgebroid. This is a simultaneous generalisation of several classical constructions in …
subalgebroid. This is a simultaneous generalisation of several classical constructions in …
Stratification of the transverse momentum map
M Mol - Compositio Mathematica, 2024 - cambridge.org
Given a Hamiltonian action of a proper symplectic groupoid (for instance, a Hamiltonian
action of a compact Lie group), we show that the transverse momentum map admits a …
action of a compact Lie group), we show that the transverse momentum map admits a …