Results 51 to 60 of about 95,172 (100)

Playing With the Index of M-Theory. [PDF]

open access: yesCommun Math Phys, 2022
Del Zotto M   +3 more
europepmc   +1 more source

On the Hodge conjecture for hyperkähler manifolds [PDF]

open access: yes
The Hodge conjecture predicts a deep connection between topology, complex geometry, and algebraic geometry. It asserts that any Hodge class on a smooth complex projective variety is algebraic, meaning it is a linear combination with rational coefficients
Varesco, Mauro
core   +1 more source

New Zealand volume. [PDF]

open access: yesEur J Math, 2022
Bogomolov F   +3 more
europepmc   +1 more source

A hyperkähler Fourier transform

open access: yes, 1998
Given two hyperkähler manifolds X and Y and a quaternionic instanton on X × Y, one can define a Fourier-Mukai transform, which maps quaternionic instantons on X to quaternionic instantons on Y.
Bartocci, C.   +2 more
core   +1 more source

A note on hyper-Hermitian four-manifolds

open access: yes, 1988
It is shown that the only hyperhermitian four-manifolds are, up to conformal equivalence, tori and K 3 {K^3} surfaces with their standard hyperKähler structures and certain conformally flat Hopf ...
Charles P. Boyer
core   +1 more source

Categorical Torelli theorems: results and open problems. [PDF]

open access: yesRend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

Surfaces in four-dimensional hyperkähler manifolds whose twistor lifts are harmonic sections [PDF]

open access: yes
We determine surfaces of genus zero in self-dual Einstein manifolds whose twistor lifts are harmonic sections. We apply our main theorem to the case of four-dimensional hyperkähler manifolds.
50349825, Hasegawa, Kazuyuki, 3977
core   +2 more sources

Intersection Forms of Toric Hyperkähler Varieties

open access: yes, 2003
This note proves combinatorially that the intersection pairing on the middle dimensional compactly supported cohomology of a toric hyperkähler variety is always definite, providing a large number of non-trivial L² harmonic forms for toric hyperkähler ...
Tamás Hausel, Edward Swartz
core  

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