Calabi–Yau manifolds realizing symplectically rigid monodromy tuples
نویسندگان
چکیده
منابع مشابه
On the Action Spectrum for Closed Symplectically Aspherical Manifolds
Symplectic homology is studied on closed symplectic manifolds where the class of the symplectic form and the first Chern class vanish on the second homotopy group. Critical values of the action functional are associated to cohomology classes of the manifold. Those lead to continuous sections in the action spectrum bundle. The action of the cohomology ring via the cap-action and the pants-produc...
متن کاملLength Minimizing Hamiltonian Paths for Symplectically Aspherical Manifolds
In this paper we consider the length minimizing properties of Hamiltonian paths generated by quasi-autonomous Hamiltonians on symplectically aspherical manifolds. Motivated by the work of Schwarz in [Sc], we study the role of the fixed global extrema in the Floer complex of the generating Hamiltonian. Our main result determines a natural condition on a fixed global maximum of a Hamiltonian whic...
متن کاملOn p-tuples of the Grassmann manifolds
We provide a matrix invarariant for isometry classes of p-tuples of points in the Grassmann manifold Gn K (K = R or C). This invariant fully caracterizes the p-tuple. We use it to determine the regular p-tuples of G2 R , G3 R and G2 C . 1 Introduction and notation A triangle (triple of points) of the Euclidean space is fully de ned, up to isometry, by three numbers, namely its side lengths. Of ...
متن کاملThe Rigidity of Families of Polarized Calabi-Yau Manifolds
In this paper,we study the Shafarevich conjecture for moduli space of polarized Calabi-Yau manifolds and obtain some results on the rigidity of families of Calabi-Yau manifolds. We use variation of Hodge structure and Higgs bundle to establish a criterion for rigidity and apply it to show some important families of Calabi-Yau manifolds are rigid,for examples: Lefschetz pencils of Calabi-Yau man...
متن کاملMoment Maps, Monodromy and Mirror Manifolds
Via considerations of symplectic reduction, monodromy, mirror symmetry and Chern-Simons functionals, a conjecture is proposed on the existence of special Lagrangians in the hamiltonian deformation class of a given Lagrangian sub-manifold of a Calabi-Yau manifold. It involves a stability condition for graded Lagrangians, and can be proved for the simple case of T 2 .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Theoretical and Mathematical Physics
سال: 2019
ISSN: 1095-0761,1095-0753
DOI: 10.4310/atmp.2019.v23.n5.a3