Results 41 to 50 of about 318 (149)

A Hodge Theory-Driven Quantum Mapping Between Calabi-Yau Manifolds and Nuclear Topology: First-Principles Derivation and Experimental Verification [PDF]

Physics Access
This study adopts Hodge theory as a rigorous mathematical framework to construct a quantitative mapping system between the high-dimensional topological invariants of CalabiYau (CY) manifolds and nuclear physics parameters, thereby establishing a strict ...
Yang Ou, Wenming Sun
doaj   +1 more source

Pink’s theory of Hodge structures and the Hodge conjecture over function fields [PDF]

, 2020
In 1997 Richard Pink has clarified the concept of Hodge structures over function fields in positive characteristic, which today are called Hodge-Pink structures. They form a neutral Tannakian category over the underlying function field. He has defined Hodge realization functors from the uniformizable abelian $t$-modules and $t$-motives of Greg Anderson
Hartl, Urs, Juschka, Ann-Kristin
openaire   +2 more sources

Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory [PDF]

, 2016
18 pages, final version, thanks for the referee and Migliorini for ...
Elias, B., Williamson, G.
openaire   +3 more sources

Hodge-Type Conjecture for Higher Chow Groups [PDF]

Pure and Applied Mathematics Quarterly, 2009
Let X be a smooth quasi-projective variety over the algebraic closure of the rational number field. We show that the cycle map of the higher Chow group to Deligne cohomology is injective and the higher Hodge cycles are generated by the image of the cycle map as conjectured by Beilinson and Jannsen, if the cycle map to Deligne cohomology is injective ...
openaire   +2 more sources

Counterexample to the Hodge Conjecture

, 2006
We construct a K3 surface whose transcendental lattice has a self-isomorphism which is not a linear combination of self-isomorphisms over $\mathbb{Q}$ which preserve cup products up to nonzero multiples. Products of it with itself give candidates for counterexamples to the Hodge conjecture which may be of interest.
Kim, K. H., Roush, F. W.
openaire   +2 more sources

On the intermediate Jacobian of M5-branes

Journal of High Energy Physics
We study Euclidean M5-branes wrapping vertical divisors in elliptic Calabi-Yau fourfold compactifications of M/F-theory that admit a Sen limit. We construct these Calabi-Yau fourfolds as elliptic fibrations over coordinate flip O3/O7 orientifolds of ...
Patrick Jefferson, Manki Kim
doaj   +1 more source

Modular Calabi-Yau fourfolds and connections to M-theory fluxes

Journal of High Energy Physics
In this work, we study the local zeta functions of Calabi-Yau fourfolds. This is done by developing arithmetic deformation techniques to compute the factor of the zeta function that is attributed to the horizontal four-form cohomology.
Hans Jockers, Sören Kotlewski, Pyry Kuusela   +2 more
doaj   +1 more source

Hodge Conjecture via Singular Varieties

In this article we study the cohomological and homological (due to Jannsen) Hodge conjecture for singular varieties. The motivation for studying singular varieties comes from the fact that any smooth projective variety X is birational to a (possibly singular) hypersurface Y in a projective space.
Dan, Ananyo, Kaur, Inder
openaire   +2 more sources

A Conjecture on Hodge Integrals

, 2003
We propose a conjectural formula expressing the generating series of some Hodge integrals in terms of representation theory of Kac-Moody algebras. Such generating series appear in calculations of Gromov-Witten invariants by localization techniques. It generalizes a formula conjectured by Mari o and Vafa, recently proved in joint work with Chiu-Chu ...
openaire   +2 more sources

A cone conjecture for log Calabi-Yau surfaces

Forum of Mathematics, Sigma
We consider log Calabi-Yau surfaces $(Y, D)$ with singular boundary. In each deformation type, there is a distinguished surface $(Y_e,D_e)$ such that the mixed Hodge structure on $H_2(Y \setminus D)$ is split.
Jennifer Li
doaj   +1 more source