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Quadratic differentials as stability conditions
(SpringerPublications mathématiques de l'IHÉS, 2014)
We prove that moduli spaces of meromorphic quadratic differentials with simple zeroes on compact Riemann surfaces can be identified with spaces of stability conditions on a class of CY3 triangulated categories defined using ...
Quadratic differentials as stability conditions
(SpringerPublications mathématiques de l'IHÉS, 2014)
We prove that moduli spaces of meromorphic quadratic differentials with simple zeroes on compact Riemann surfaces can be identified with spaces of stability conditions on a class of CY3 triangulated categories defined using ...
A Symplectic Prolegomenon
(American Mathematical SocietyBulletin of the American Mathematical Society, 2014)
A symplectic manifold gives rise to a triangulated A∞-category, the derived Fukaya category, which encodes information on Lagrangian submanifolds and dynamics as probed by Floer cohomology. This survey aims to give some ...
Alpha Invariants and K-Stability for General Polarizations of Fano Varieties
(Oxford University PressINTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014-09-26)
We provide a sufficient condition for polarisations of Fano varieties to be K-stable in terms of Tian’s alpha invariant, which uses the log canonical threshold to measure singularities of divisors in the linear system ...
Enhanced active swimming in viscoelastic fluids
(IOP PublishingEurophysics Letters, 2014-11-05)
Swimming microorganisms often self-propel in fluids with complex rheology. While past theoretical work indicates that fluid viscoelasticity should hinder their locomotion, recent experiments on waving swimmers suggest a ...
Generations: three prints, in colour
(SpringerJournal of High Energy Physics, 2014-10-07)
We point out a somewhat mysterious appearance of SUc(3) representations, which exhibit the behaviour of three full generations of standard model particles. These representations are found in the Clifford algebra ℂl(6), ...
Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
(Journal of High Energy Physics, 2014-01-01)
Vortices in holographic superfluids and superconductors as conformal defects
(Journal of High Energy Physics, 2014-01-01)
Rings, ripples, and rotation: Connecting black holes to black rings
(Journal of High Energy Physics, 2014-01-01)
Hidden states, hidden structures: Bayesian learning in time series models
(University of CambridgeDepartment of Engineering, 2014-06-10)
This thesis presents methods for the inference of system state and the learning of model structure for a number of hidden-state time series models, within a Bayesian probabilistic framework. Motivating examples are taken ...