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6 papers · 1 filter
Conjugacy for positive permutation braids
Hugh R. Morton, Richard J. Hadji
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair of strings crosses at most once, form the elementary but non-trivial building bl…
Coherent systems of genus 0
H. Lange, P. E. Newstead
In this paper we begin the classification of coherent systems on the projective line which are stable with respect to some value of a parameter . In particular we show t…
Tjurina and Milnor numbers of matrix singularities
Victor Goryunov, David Mond
In order to understand the deformations of determinants and Pfaffians resulting from deformations of matrices, we study the deformation theory of composites , with isolat…
Superconducting Analogues of Quantum Optical Phenomena: Macroscopic Quantum Superpositions and Squeezing in a SQUID Ring
M. J. Everitt, T. D. Clark, P. B. Stiffell +4
In this paper we explore the quantum behaviour of a SQUID ring which has a significant Josephson coupling energy. We show that that the eigenfunctions of the Hamiltonian for the ri…
Characterising a solid state qubit via environmental noise
J. F. Ralph, T. D. Clark, M. J. Everitt +3
We propose a method for characterising the energy level structure of a solid-state qubit by monitoring the noise level in its environment. We consider a model persistent-current qu…
Towards Vertex Algebras of Krichever-Novikov Type, Part I
K. J. Linde
It is shown that a certain representation of the Heisenberg type Krichever-Novikov algebra gives rise to a state field correspondence that is quite similar to the vertex algebra st…