Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Mărcuţ, Ioan"'
Autor:
Mărcuţ, Ioan, Schüßler, Andreas
We study a spectral sequence approximating Lie algebroid cohomology associated to a Lie subalgebroid. This is a simultaneous generalisation of several classical constructions in differential geometry, including the Leray-Serre spectral sequence for d
Externí odkaz:
http://arxiv.org/abs/2405.00419
Autor:
Frejlich, Pedro, Marcut, Ioan
We prove a normal form theorem for principal Hamiltonian actions on Poisson manifolds around the zero locus of the moment map. The local model is the generalization to Poisson geometry of the classical minimal coupling construction from symplectic ge
Externí odkaz:
http://arxiv.org/abs/2302.02062
Autor:
Marcut, Ioan, Zeiser, Florian
This is the second of two papers, in which we prove a version of Conn's linearization theorem for the Lie algebra $\mathfrak{sl}_2(\mathbb{C})\simeq \mathfrak{so}(3,1)$. Namely, we show that any Poisson structure whose linear approximation at a zero
Externí odkaz:
http://arxiv.org/abs/2212.07520
Autor:
Marcut, Ioan, Zeiser, Florian
This is the first of two papers, in which we prove a version of Conn's linearization theorem for the Lie algebra $\mathfrak{sl}_2(\mathbb{C})\simeq \mathfrak{so}(3,1)$. Namely, we show that any Poisson structure whose linear approximation at a zero i
Externí odkaz:
http://arxiv.org/abs/2212.07512
Autor:
Cavalcanti, Gil R., Marcut, Ioan
We explicitly construct several Poisson structures with compact support. For example, we show that any Poisson structure on $\R^n$ with polynomial coefficients of degree at most two can be modified outside an open ball, such that it becomes compactly
Externí odkaz:
http://arxiv.org/abs/2209.14016
Autor:
Fernandes, Rui Loja, Marcut, Ioan
We construct a first order local model for Poisson manifolds around a large class of Poisson submanifolds and we give conditions under which this model is a local normal form. The resulting linearization theorem includes as special cases all the know
Externí odkaz:
http://arxiv.org/abs/2205.11457
Autor:
Fernandes, Rui Loja, Marcut, Ioan
We develop the theory of multiplicative Ehresmann connections for Lie groupoid submersions covering the identity, as well as their infinitesimal counterparts. We construct obstructions to the existence of such connections, and we prove existence for
Externí odkaz:
http://arxiv.org/abs/2204.08507
Autor:
Frejlich, Pedro, Mărcuţ, Ioan
Publikováno v:
In Indagationes Mathematicae March 2024 35(2):288-316
Autor:
Marcut, Ioan
We build examples of Poisson structure whose Poisson diffeomorphism group is not locally path-connected.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2001.00644
Autor:
Marcut, Ioan, Zeiser, Florian
We compute the smooth Poisson cohomology of the linear Poisson structure associated with the Lie algebra $\mathfrak{sl}_2^*(\mathbb{R})$.
Comment: 42 pages, 5 figures
Comment: 42 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/1911.11732