Results 61 to 70 of about 162 (153)

Coadjoint orbits of Lie groupoids [PDF]

Journal of Geometry and Physics, 2018
For a Lie groupoid $\mathcal{G}$ with Lie algebroid $A$, we realize the symplectic leaves of the Lie-Poisson structure on $A^*$ as orbits of the affine coadjoint action of the Lie groupoid $\mathcal{J}\mathcal{G}\ltimes T^*M$ on $A^*$, which coincide with the groupoid orbits of the symplectic groupoid $T^*\mathcal{G}$ over $A^*$.
Lang, H., Liu, Z.
openaire   +4 more sources

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods

Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.
ABSTRACT We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in Hydon [Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2005): 1627–1637].
Ruiao Hu, Linyu Peng
wiley   +1 more source

On sums of admissible coadjoint orbits [PDF]

Proceedings of the American Mathematical Society, 2013
10 pages, 2 ...
Eshmatov, Alimjon, Foth, Philip
openaire   +3 more sources

Functorial constructions related to double Poisson vertex algebras

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec, Maxime Fairon, Anne Moreau   +2 more
wiley   +1 more source

Averaging multipliers on locally compact quantum groups

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws, Jacek Krajczok, Christian Voigt   +2 more
wiley   +1 more source

The symplectic density property for Calogero–Moser spaces

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract We introduce the symplectic density property and the Hamiltonian density property together with the corresponding versions of Andersén–Lempert theory. We establish these properties for the Calogero–Moser space Cn$\mathcal {C}_n$ of n$n$ particles and describe its group of holomorphic symplectic automorphisms.
Rafael B. Andrist, Gaofeng Huang
wiley   +1 more source

BMS3 fermionic localization

Journal of High Energy Physics
We consider the geometric action formulation for 3d pure gravity with vanishing cosmological constant. We use fermionic localization to compute the exact torus partition function for a constant representative coadjoint orbit of BMS ̂ 3 $$ {\hat{\textrm ...
Joan Simón, Boyang Yu
doaj   +1 more source

Hofer–Zehnder capacity of disc tangent bundles of projective spaces

Journal of the London Mathematical Society, Volume 110, Issue 1, July 2024.
Abstract We compute the Hofer–Zehnder capacity of disc tangent bundles of the complex and real projective spaces of any dimension. The disc bundle is taken with respect to the Fubini–Study resp. round metric, but we can obtain explicit bounds for any other metric.
Johanna Bimmermann
wiley   +1 more source

Equivariant Lagrangian Floer homology via cotangent bundles of EGN$EG_N$

Journal of Topology, Volume 17, Issue 1, March 2024.
Abstract We provide a construction of equivariant Lagrangian Floer homology HFG(L0,L1)$HF_G(L_0, L_1)$, for a compact Lie group G$G$ acting on a symplectic manifold M$M$ in a Hamiltonian fashion, and a pair of G$G$‐Lagrangian submanifolds L0,L1⊂M$L_0, L_1 \subset M$.
Guillem Cazassus
wiley   +1 more source