Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Steven Rayan"'
Publikováno v:
Expositiones Mathematicae. 39:411-419
We provide an explicit description of the Poincare duals of each generator of the rational cohomology ring of the S U ( 2 ) character variety for a genus g surface with central extension — equivalently, that of the moduli space of stable holomorphi
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https://explore.openaire.eu/search/publication?articleId=doi_________::c6816f4a6dd6304f40ccdb23bcb5e52c
https://doi.org/10.1016/j.exmath.2020.06.003
https://doi.org/10.1016/j.exmath.2020.06.003
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
instname
For complex connected, reductive, affine, algebraic groups G, we give a Lie-theoretic characterization of the semistability of principal G-co-Higgs bundles on the complex projective line p in terms of the simple roots of a Borel subgroup of G. We des
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::613393f41f77a14194fbf5105a7ab402
https://doi.org/10.1017/s0013091520000024
https://doi.org/10.1017/s0013091520000024
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 37:79-103
We study the Ginzburg-Landau equations on Riemann surfaces of arbitrary genus. In particular: - we construct explicitly the (local moduli space of gauge-equivalent) solutions in a neighbourhood of the constant curvature ones; - classify holomorphic s
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https://doi.org/10.1016/j.anihpc.2019.04.002
https://doi.org/10.1016/j.anihpc.2019.04.002
Autor:
Elliot Kienzle, Steven Rayan
Hyperbolic lattices underlie a new form of quantum matter with potential applications to quantum computing and simulation and which, to date, have been engineered artificially. A corresponding hyperbolic band theory has emerged, extending 2-dimension
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cf975eb79243b60fc85facd466b15f4
http://arxiv.org/abs/2201.12689
http://arxiv.org/abs/2201.12689
Autor:
Steven Rayan, Joseph Maciejko
Publikováno v:
Science Advances. 7
The notions of Bloch wave, crystal momentum, and energy bands are commonly regarded as unique features of crystalline materials with commutative translation symmetries. Motivated by the recent realization of hyperbolic lattices in circuit quantum ele
Externí odkaz:
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https://doi.org/10.1126/sciadv.abe9170
https://doi.org/10.1126/sciadv.abe9170
Autor:
Evan Sundbo, Steven Rayan
Publikováno v:
European Journal of Mathematics. 7:205-225
We study the algebraic geometry of twisted Higgs bundles of cyclic type along complex curves. These objects, which generalize ordinary cyclic Higgs bundles, can be identified with representations of a cyclic quiver in a twisted category of coherent s
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https://doi.org/10.1007/s40879-019-00365-0
https://doi.org/10.1007/s40879-019-00365-0
Autor:
Igor Boettcher, Alexey V. Gorshkov, Alicia J. Kollár, Joseph Maciejko, Steven Rayan, Ronny Thomale
Hyperbolic lattices are a revolutionary platform for tabletop simulations of holography and quantum physics in curved space and facilitate efficient quantum error correcting codes. Their underlying geometry is non-Euclidean, and the absence of Bloch'
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::271a6604f504927f8007856df5f39070
http://arxiv.org/abs/2105.01087
http://arxiv.org/abs/2105.01087
Autor:
Joseph Maciejko, Steven Rayan
Hyperbolic lattices are a new form of synthetic quantum matter in which particles effectively hop on a discrete tessellation of 2D hyperbolic space, a non-Euclidean space of uniform negative curvature. To describe the single-particle eigenstates and
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e436ac405456071f6f9a82a229c5bb69
The Calogero-Franc¸oise Integrable System: Algebraic Geometry, Higgs Fields, and the Inverse Problem
We review the Calogero-Francoise integrable system, which is a generalization of the Camassa-Holm system. We express solutions as (twisted) Higgs bundles, in the sense of Hitchin, over the projective line. We use this point of view to (a) establish a
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https://doi.org/10.1017/9781108773287.015
https://doi.org/10.1017/9781108773287.015
Autor:
Steven Rayan, Indranil Biswas
Publikováno v:
Geometriae Dedicata. 193:145-154
We consider smooth moduli spaces of semistable vector bundles of fixed rank and determinant on a compact Riemann surface $X$ of genus at least $3$. The choice of a Poincar\'e bundle for such a moduli space $M$ induces an isomorphism between $X$ and a
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https://doi.org/10.1007/s10711-017-0259-4
https://doi.org/10.1007/s10711-017-0259-4