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of 1 765
pro vyhledávání: '"53D20"'
In 1986, Albert proposed a Marsden-Weinstein reduction process for cosymplectic structures. In this paper, we present the limitations of this theory in the application of the reduction of symmetric time-dependent Hamiltonian systems. As a consequence
Externí odkaz:
http://arxiv.org/abs/2411.11997
Autor:
Hirota, Yuji, Ikeda, Noriaki
Reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian Lie algebroids over Poisson manifolds. It is shown that a compatible
Externí odkaz:
http://arxiv.org/abs/2411.10969
Autor:
Henigman, Rei
We classify symplectic non-Hamiltonian circle actions on compact connected symplectic 4-manifolds, up to equivariant symplectomorphisms. Namely, we define a set of invariants, show that the set is complete, and determine which values are attainable b
Externí odkaz:
http://arxiv.org/abs/2411.10157
Autor:
Yamaguchi, Kentaro
In the previous work, we study the closure of a complex subtorus in a toric manifold given by the data of an affine subspace. We call it torus-equivariantly embedded toric manifold when the closure of a complex subtorus is a smooth complex submanifol
Externí odkaz:
http://arxiv.org/abs/2411.06715
Autor:
Schmitz, Joel
Counterexamples to Lagrangian Poincar\'e recurrence were recently found in dimensions $\geq 6$ by Bro\'ci\'c and Shelukhin. We construct counterexamples in dimension 4 using almost toric fibrations.
Comment: 7 pages, 3 figures; v2: added Remark
Comment: 7 pages, 3 figures; v2: added Remark
Externí odkaz:
http://arxiv.org/abs/2410.24102
Autor:
Canepa, Giovanni, Schiavina, Michele
We extend the cohomological setting developed by Batalin, Fradkin and Vilkovisky to the case of a nested coisotropic embedding $C\hookrightarrow C_\circ \hookrightarrow F$ inside a symplectic manifold $F$. To this, we naturally assign the coisotropic
Externí odkaz:
http://arxiv.org/abs/2410.23184
Autor:
Dimakis, Panagiotis, Rochon, Frédéric
Using an approach developed by Melrose to study the geometry at infinity of the Nakajima metric on the reduced Hilbert scheme of points on $\mathbb{C}^2$, we show that the Nakajima metric on a quiver variety is quasi-asymptotically conical (QAC) when
Externí odkaz:
http://arxiv.org/abs/2410.15424
Autor:
Tang, Xiudi
Since simple semitoric systems were classified about fifteen years ago, and semitoric systems five years ago, we want to move a step forward to almost-toric systems. We give a classification of compact almost-toric systems in dimension four up to fib
Externí odkaz:
http://arxiv.org/abs/2410.08175
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
Autor:
Braverman, Maxim
We consider a Hamiltonian action of a compact Lie group $G$ on a complete \ka manifold $M$ with a proper moment map. In a previous paper, we defined a regularized version of the Dolbeault cohomology of a $G$-equivariant holomorphic vector bundle, cal
Externí odkaz:
http://arxiv.org/abs/2410.05532