@article{1442,
abstract = {We give a cohomological interpretation of both the Kac polynomial and the refined Donaldson-Thomas-invariants of quivers. This interpretation yields a proof of a conjecture of Kac from 1982 and gives a new perspective on recent work of Kontsevich-Soibelman. Thisis achieved by computing, via an arithmetic Fourier transform, the dimensions of the isotypical components of the cohomology of associated Nakajima quiver varieties under the action of a Weyl group. The generating function of the corresponding Poincare polynomials is an extension of Hua's formula for Kac polynomials of quivers involving Hall-Littlewood symmetric functions. The resulting formulae contain a wide range of information on the geometry of the quiver varieties.},
author = {Tamas Hausel and Letellier, Emmanuel and RodrÃguez Villegas, Fernando},
journal = {Annals of Mathematics},
number = {3},
pages = {1147 -- 1168},
publisher = {Princeton University Press},
title = {{Positivity for Kac polynomials and DT-invariants of quivers}},
doi = {10.4007/annals.2013.177.3.8},
volume = {177},
year = {2013},
}
@inbook{1443,
abstract = {Here we survey several results and conjectures on the cohomology of the total space of the Hitchin system: the moduli space of semi-stable rank n and degree d Higgs bundles on a complex algebraic curve C. The picture emerging is a dynamic mixture of ideas originating in theoretical physics such as gauge theory and mirror symmetry, Weil conjectures in arithmetic algebraic geometry, representation theory of finite groups of Lie type and Langlands duality in number theory.},
author = {Tamas Hausel},
booktitle = {Handbook of Moduli: Volume II},
pages = {29 -- 70},
publisher = {International Press},
title = {{Global topology of the Hitchin system}},
volume = {25},
year = {2013},
}
@article{1470,
abstract = {We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of n-points of two surfaces, the affine plane minus the axes and the cotangent bundle of an elliptic curve, exchanges the weight filtration on the first set of cohomology groups with the perverse Leray filtration associated with a natural fibration on the second set of cohomology groups. We discuss some associated hard Lefschetz phenomena.},
author = {De Cataldo, Mark A and Tamas Hausel and Migliorini, Luca},
journal = {Journal of Singularities},
pages = {23 -- 38},
publisher = {Worldwide Center of Mathematics},
title = {{Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces}},
doi = {10.5427/jsing.2013.7c},
volume = {7},
year = {2013},
}
@article{1759,
abstract = {We report an electric-field-induced giant modulation of the hole g factor in SiGe nanocrystals. The observed effect is ascribed to a so-far overlooked contribution to the g factor that stems from the mixing between heavy- and light-hole wave functions. We show that the relative displacement between the confined heavy- and light-hole states, occurring upon application of the electric field, alters their mixing strength leading to a strong nonmonotonic modulation of the g factor.},
author = {Ares, Natalia and Golovach, Vitaly N and Georgios Katsaros and Stoffel, Mathieu and Fournel, Frank and Glazman, Leonid I and Schmidt, Oliver G and De Franceschi, Silvano},
journal = {Physical Review Letters},
number = {4},
publisher = {American Physical Society},
title = {{Nature of tunable hole g factors in quantum dots}},
doi = {10.1103/PhysRevLett.110.046602},
volume = {110},
year = {2013},
}
@article{1760,
abstract = {We report on hole g-factor measurements in three terminal SiGe self-assembled quantum dot devices with a top gate electrode positioned very close to the nanostructure. Measurements of both the perpendicular as well as the parallel g-factor reveal significant changes for a small modulation of the top gate voltage. From the observed modulations, we estimate that, for realistic experimental conditions, hole spins can be electrically manipulated with Rabi frequencies in the order of 100 MHz. This work emphasises the potential of hole-based nano-devices for efficient spin manipulation by means of the g-tensor modulation technique.},
author = {Ares, Natalia and Georgios Katsaros and Golovach, Vitaly N and Zhang, Jianjun and Prager, Aaron A and Glazman, Leonid I and Schmidt, Oliver G and De Franceschi, Silvano},
journal = {Applied Physics Letters},
number = {26},
publisher = {American Institute of Physics},
title = {{SiGe quantum dots for fast hole spin Rabi oscillations}},
doi = {10.1063/1.4858959},
volume = {103},
year = {2013},
}