Results 11 to 20 of about 104 (84)
On orthogonal polynomials and related discrete integrable systems [PDF]
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
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Quaternionic Transgression in Hyperkähler Geometry
It is known, that hyperkähler varieties being a special case of Riemann and Kähler manifolds, admit more symmetries. For this reason, all important structures possibly admit hyperkähler generalization.
Kotov, Alexei,, Langmann, Edwin,
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Curvature of higher direct image sheaves on the moduli space of stable vector bundles
Die höheren direkten Bildgarben von Familien von Hermite-Einstein-Vektorbündeln auf kompakten Kählermannigfaltigkeiten werden untersucht. Außerhalb einer echten analytischen Teilmenge der Basis induzieren diese Garben holomorphe Vektorbündel, die eine ...
Geiger, Thomas Wolfgang (1044940832)
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Cohomological Yang-Mills theories on Kähler 3-folds [PDF]
We study topological gauge theories with Nc = (2; 0) supersymmetry based on stable bundles on general Kähler 3-folds. In order to have a theory that is well defined and well behaved, we consider a model based on an extension of the usual holomorphic ...
Hofman, C., Park, J.-S.
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Zeros of polynomials in derivatives of automorphic L$L$‐functions
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
Invariant divisors and equivariant line bundles [PDF]
Scalar relative invariants play an important role in the theory of group actions on a manifold as their zero sets are invariant hypersurfaces. Relative invariants are central in many applications, where they often are treated locally since an invariant ...
Schneider, Eivind, Kruglikov, Boris
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Transversality Results and Computations in Symplectic Field Theory [PDF]
Although the definition of symplectic field theory suggests that one has to count holomorphic curves in cylindrical manifolds equipped with a cylindrical almost complex structure, it is already well-known from Gromov-Witten theory that, due to the ...
Fabert, Oliver
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Singularity of non‐pluripolar cohomology classes
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class α$\alpha$ along an effective divisor D$D$ has full mass, then the Lelong numbers of the non‐pluripolar class ⟨αn−1⟩$\langle \alpha ^{n-1}\rangle$ at every ...
Duc‐Bao Nguyen +2 more
wiley +1 more source
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
Sobre mapas momento y variedades de Jacobi
The main goal of this work is to introduce the idea of a Hamiltonian action in the context of Jacobi structures on line bundles. This work aims to make these construction without relying on the "Poissonization trick".
Leguizamón Robayo, Alexander
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