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pro vyhledávání: '"Gammelgaard, Niels"'
We construct a natural framed weight system on chord diagrams from the curvature tensor of any pseudo-Riemannian symmetric space. These weight systems are of Lie algebra type and realized by the action of the holonomy Lie algebra on a tangent space.
Externí odkaz:
http://arxiv.org/abs/1410.6440
Let $X$ be a compact connected Riemann surface of genus at least two. Let $M_H(r,d)$ denote the moduli space of semistable Higgs bundles on $X$ of rank $r$ and degree $d$. We prove that the compact complex Bohr-Sommerfeld Lagrangians of $M_H(r,d)$ ar
Externí odkaz:
http://arxiv.org/abs/1409.6814
We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In particular, we establish that the curvature acts as a first-order operator o
Externí odkaz:
http://arxiv.org/abs/1409.1035
Autor:
Gammelgaard, Niels Leth
Publikováno v:
Adv. Math. 259 (2014) 766-783
We give an explicit local formula for any formal deformation quantization, with separation of variables, on a K\"ahler manifold. The formula is given in terms of differential operators, parametrized by acyclic combinatorial graphs.
Comment: 20 p
Comment: 20 p
Externí odkaz:
http://arxiv.org/abs/1005.2094
Publikováno v:
Grassmannians, moduli spaces and vector bundles, 1-24, Clay Math. Proc., 14, Amer. Math. Soc., Providence, RI, 2011
In this paper, we will provide a review of the geometric construction, proposed by Witten, of the SU(n) quantum representations of the mapping class groups which are part of the Reshetikhin-Turaev TQFT for the quantum group U_q(sl(n, C)). In particul
Externí odkaz:
http://arxiv.org/abs/0903.4091
Publikováno v:
Quantum Topol. 3 (2012), no. 3-4, 327-357
We give a differential geometric construction of a connection in the bundle of quantum Hilbert spaces arising from half-form corrected geometric quantization of a prequantizable, symplectic manifold, endowed with a rigid, family of K\"ahler structure
Externí odkaz:
http://arxiv.org/abs/0711.3995
Autor:
Gammelgaard, Niels Leth
Publikováno v:
In Advances in Mathematics 10 July 2014 259:766-783
We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In particular, we establish that the curvature acts as a first-order operator o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::437bf3f1042348a626f3db2aeaf8ef7e
http://arxiv.org/abs/1409.1035
http://arxiv.org/abs/1409.1035
Akademický článek
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Publikováno v:
Heslop, A, Lildholdt, T, Gammelgaard, N & Ovesen, T 2010, ' Topical ciprofloxacin is superior to topical saline and systemic antibiotics in the treatment of tympanostomy tube otorrhea in children: the results of a randomized clinical trial ', The Laryngoscope, vol. 120, no. 12, pp. 2516-20 . https://doi.org/10.1002/lary.21015
To compare the clinical failure rates among children with otorrhea through tympanostomy tubes treated with topical or systemic antibiotics versus topical saline.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pure_au_____::436abcf602afea1f353c6149ebea0466
https://pure.au.dk/portal/da/publications/topical-ciprofloxacin-is-superior-to-topical-saline-and-systemic-antibiotics-in-the-treatment-of-tympanostomy-tube-otorrhea-in-children-the-results-of-a-randomized-clinical-trial(b68989a4-8c77-4f9d-960a-9f02f1bb1840).html
https://pure.au.dk/portal/da/publications/topical-ciprofloxacin-is-superior-to-topical-saline-and-systemic-antibiotics-in-the-treatment-of-tympanostomy-tube-otorrhea-in-children-the-results-of-a-randomized-clinical-trial(b68989a4-8c77-4f9d-960a-9f02f1bb1840).html