Lagrangian fibration
Tīmeklis2010. gada 1. febr. · Let Y be an n-dimensional manifold that is the base space of a Lagrangian fibration with monodromy given by f ∗. If H 3 (Y; R) = 0, then all cohomology classes in H 2 (Y; Z f ∗ n) can be realised as the Chern class of some Lagrangian fibration with base Y and monodromy as before. Tīmeklis2024. gada 22. maijs · Consider a Lagrangian section C of this fibration, locally written as y(x), in X. Using the identification with the cotangent bundle and the fact that C is Lagrangian with respect to $\omega $ if and only if it is closed and hence locally exact, it is shown [ 8 ] that locally
Lagrangian fibration
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Tīmeklis2024. gada 21. dec. · There is a related notion of the Shafarevich-Tate group associated to a Lagrangian fibration. Its connected component of unity can be shown to be isomorphic to $\mathbb C/\Lambda$ where $\Lambda$ is a finitely generated subgroup of $\mathbb C$ and $\mathbb C$ is thought of as the base of the Shafarevich-Tate … Tīmeklis2024. gada 8. jūl. · Lagrangian torus fibrations and Arnol'd-Liouville theorem. Let ( X, ω) be a closed symplectic manifold of dimension 2 n and π: X → Q a Lagrangian torus …
TīmeklisLagrangian fibration of a hyper-K¨ahler manifold is a generalization of an elliptic fibration of a K3 surface. It is a certain holomorphic surjective map π : X →B from a … TīmeklisWe study the partition function N=1 5D U(N) gauge theory with g adjoint hypermultiplets and show that for massless adjoint hypermultiplets it is equal to the partition function …
Tīmeklis2024. gada 16. marts · This paper deals with Lagrangian fibrations in coupled resonant oscillators containing swinging spring oscillators of four degrees of freedom. We will … TīmeklisGeometrically this means that, locally around the regular value c, the map f: M → R n collecting the integrals of motion is a Lagrangian fibration, i.e. it is locally trivial and the fibres are Lagrangian submanifolds. Furthermore, one also shows that the connected components of f − 1 ( c) are of the form R n − k × T k, where 0 ≤ k ≤ ...
Tīmeklis2024. gada 19. marts · Clearly, as T is Lagrangian, the map is trivial, see the proof above. Since the restriction of a Kähler class is again Kähler, is certainly not trivial. …
TīmeklisIn this paper we construct explicitly a special Lagrangian fibration in the Taub-NUT space. The Taub-NUT space is a complex 2-fold with a Ricci-flat metric and it is well … eve online buddy accountTīmeklisThe goal of the present account is to review our efforts to obtain and apply a “collective” Hamiltonian for a few, approximately decoupled, adiabatic degrees of freedom, starting from a Hamiltonian system with more or many more degrees of freedom. eve online bug reportTīmeklis2024. gada 19. marts · The LLV algebra for a compact hyperkähler manifold detects the information of a Lagrangian fibration. We outline how some of these results hold in the case of primitive symplectic varieties ... eve online buffer tank vs active tankTīmeklisDominique Mattei, The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties, arXiv:2302.00350. ... Claire Voisin, On the … eve online burner ashimmuTīmeklisA classical way to construct a Lagrangian in a symplectic manifold Σ is to let Σ appear as a smooth fiber in a Lefschetz fibration. If this is possible the singularities of the … eve online bubble projectorTīmeklis2024. gada 31. aug. · In the case where f is nondegenerate and the strict critical locus is smooth, we show that the Lagrangian fibration on the derived critical locus is determined by the Hessian quadratic form. Keywords. derived geometry shifted symplectic structures Lagrangian Lagrangian fibrations derived intersections … eve online build caracalhttp://www.numdam.org/item/ASENS_2013_4_46_3_375_0/ eve online burner mission fits