Zobrazeno 1 - 10
of 632
pro vyhledávání: '"58H05"'
Autor:
Aintablian, Lory, Blohmann, Christian
The infinitesimal counterpart of a Lie groupoid is its Lie algebroid. As a vector bundle, it is given by the source vertical tangent bundle restricted to the identity bisection. Its sections can be identified with the invariant vector fields on the g
Externí odkaz:
http://arxiv.org/abs/2412.19697
We study Schr\"odinger operators $H:= -\Delta + V$ with potentials $V$ that have power-law growth (not necessarily polynomial) at 0 and at $\infty$ using methods of Lie theory (Lie-Rinehart algebras) and microlocal analysis. More precisely, we show t
Externí odkaz:
http://arxiv.org/abs/2412.19290
Autor:
Stachura, Piotr
This article presents a differential groupoid with ``coaction'' of the groupoid underlying the Quantum Euclidean Group (i.e. its $C^*$-algebra is the $C^*$-algebra of this quantum group). The dual of the Lie algebroid is a Poisson manifold that can b
Externí odkaz:
http://arxiv.org/abs/2411.15977
Autor:
Chaudhuri, Adittya
We investigate an interplay between some ideas in traditional gauge theory and certain concepts in fibered categories. We accomplish this by introducing a notion of a principal Lie 2-group bundle over a Lie groupoid and studying its connection struct
Externí odkaz:
http://arxiv.org/abs/2411.00814
Autor:
Maruhashi, Hirokazu
The orbit-fixing deformation spaces of $C^\infty$ locally free actions of simply connected Lie groups on closed $C^\infty$ manifolds have been studied by several authors. In this paper we reformulate the deformation space by imitating the Teichm\"{u}
Externí odkaz:
http://arxiv.org/abs/2410.11461
Autor:
Yonehara, Shuhei
The Mikami-Weinstein theorem is a generalization of the classical Marsden-Weinstein-Meyer symplectic reduction theorem to the case of symplectic groupoid actions. In this paper, we introduce the notion of a cosymplectic groupoid action on a cosymplec
Externí odkaz:
http://arxiv.org/abs/2410.05846
Morita equivalence classes of Lie groupoids serve as models for differentiable stacks, which are higher spaces in differential geometry, generalizing manifolds and orbifolds. Representations up to homotopy of Lie groupoids provide a higher analog of
Externí odkaz:
http://arxiv.org/abs/2410.02570
Autor:
Angulo, Camilo, Cueca, Miquel
We construct a van Est map for strict Lie 2-groups from the Bott-Shulman-Stasheff double complex of the strict Lie 2-group to the Weil algebra of its associated strict Lie 2-algebra. We show that, under appropriate connectedness assumptions, this map
Externí odkaz:
http://arxiv.org/abs/2405.09969
The set of partial isometries in a W*-algebra possesses a structure of Banach Lie groupoid. In this paper the differential structure on the set of partial isometries over the restricted Grassmannian is constructed, which makes it into a Banach Lie gr
Externí odkaz:
http://arxiv.org/abs/2404.12847
Autor:
Beltita, Daniel, Pelletier, Fernand
We introduce the notion of \textbf{Q}-principal bundle, which is the appropriate version of principal fibre bundles in the setting of R. Barre's \textbf{Q}-manifolds. As an application, we prove that every transitive Lie algebroid arises from the Ati
Externí odkaz:
http://arxiv.org/abs/2404.10607