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Magnetorotational Supernova Explosions: Jets and Mirror Symmetry Violation
AbstractMagnetorotational processes can significantly affect the dynamics of core-collapse supernovae, resulting to magnetically driven jet-like...
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Scattering diagrams in mirror symmetry
Since the pioneering work of Kontsevich and Soibelman (in: The unity of mathematics, Springer, Berlin, 2006), scattering diagrams have started...
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Stability Conditions and the Mirror Symmetry of K3 Surfaces in Attractor Backgrounds
We study the space of stability conditions on K 3 surfaces from the perspective of mirror symmetry. This is done in the attractor backgrounds...
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The canonical wall structure and intrinsic mirror symmetry
As announced in Gross and Siebert (in Algebraic geometry: Salt Lake City 2015, Proceedings of Symposia in Pure Mathematics, vol 97, no 2. AMS,...
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On homological mirror symmetry for chain type polynomials
We consider Takahashi’s categorical interpretation of the Berglund–Hubsch mirror symmetry conjecture for invertible polynomials in the case of chain...
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Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for the multiplicity of the very...
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Symmetry Analysis
We have learnt the qualitative analysis of nonlinear systems in previous chapters. Symmetry is an inherent property of natural phenomena as well as...
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Homological mirror symmetry for generalized Greene–Plesser mirrors
We prove Kontsevich’s homological mirror symmetry conjecture for certain mirror pairs arising from Batyrev–Borisov’s ‘dual reflexive Gorenstein...
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Mirror symmetry for K3 surfaces
For certain K3 surfaces, there are two constructions of mirror symmetry that appear very different. The first, known as BHK mirror symmetry, comes...
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From Friezes to Quasicrystals: A History of Symmetry Groups
Even if, since many thousands of years, humans were fascinated by symmetry, which is reflected in many preserved ornaments on buildings, paintings,...
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From Friezes to Quasicrystals: A History of Symmetry Groups
Even if, since many thousands of years, humans were fascinated by symmetry, which is reflected in many preserved ornaments on buildings, paintings,...
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Linear time algorithms on mirror trees
We address in this paper two problems on mirror graphs. The first is the recognition problem. While it is graph isomorphism complete, we show the...
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The 3-dimensional Lyness map and a self-mirror log Calabi–Yau 3-fold
The 2-dimensional Lyness map is a 5-periodic birational map of the plane which may famously be resolved to give an automorphism of a log Calabi–Yau...
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Map** Crystal Symmetry into Architecture
This research explores the symmetry in crystal growth processes to inform space-filling and stacking in the robotic construction process. The...
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Develo** a Model for a Modulating Mirror Fixed on Active Supports. Deterministic Problem*
We consider a problem of a modulating mirror fixed on active supports. It is assumed that the mirror may have several defects. The problem is to find...
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A unified framework for symmetry handling
Handling symmetries in optimization problems is essential for devising efficient solution methods. In this article, we present a general framework...
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Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities
We study pairs of symmetrically coupled, identical Lengyel-Epstein oscillators, where the coupling can be through both the fast and slow variables....
