Period realization of meromorphic differentials with prescribed invariants
Forum of Mathematics, SigmaWe provide a complete description of realizable period representations for meromorphic differentials on Riemann surfaces with prescribed orders of zeros and poles, hyperelliptic structure and spin parity.
Dawei Chen, Gianluca Faraco
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Period Matrices of Real Riemann Surfaces and Fundamental Domains
Symmetry, Integrability and Geometry: Methods and Applications, 2013 For some positive integers g and n we consider a subgroup G_{g,n} of the 2g-dimensional modular group keeping invariant a certain locus W_{g,n} in the Siegel upper half plane of degree g.
Pietro Giavedoni
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Topological recursion for hyperbolic string field theory
Journal of High Energy PhysicsWe derive an analog of Mirzakhani’s recursion relation for hyperbolic string vertices and investigate its implications for closed string field theory.
Atakan Hilmi Fırat, Nico Valdes-Meller
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Experimental observation of energy-band Riemann surface. [PDF]
Sci AdvCheng D +5 more
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Coherent control of (non-)Hermitian mode coupling: tunable chirality and exceptional point dynamics in photonic microresonators. [PDF]
Light Sci ApplAslan B +5 more
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Experimental witness of quantum jump induced high-order Liouvillian exceptional points. [PDF]
Nat CommunWu ZZ +13 more
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Fourier expansion along geodesics on Riemann surfaces
Open Mathematics, 2014 Deitmar Anton
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A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D. [PDF]
Arch Ration Mech AnalJulin V, Morini M, Oronzio F, Spadaro E.
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A topological method of generating action potentials and electroencephalography oscillations in a surface network. [PDF]
R Soc Open SciSen S.
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