Geometric Algebra Techniques in Flux Compactifications by Calin Iuliu Lazaroiu, Elena Mirela Babalic, Ioana Alexandra Coman

“…As an application, we show how our approach can be used to efficiently treat N=1 compactification of M-theory on eight manifolds and prove that we recover results previously obtained in the literature.…”
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Constructing the Second Order Poincaré Map Based on the Hopf-Zero Unfolding Method by Gen Ge, Wang Wei

“…For the Shilnikov sense homoclinic orbit, the complex form analytic expression is accomplished by using the power series of the manifolds surrounding the saddle-focus equilibrium. …”
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Approaching the Discrete Dynamical Systems by means of Skew-Evolution Semiflows by Codruţa Stoica

“…Due to the outstanding role played in the study of stable, instable, and, respectively, central manifolds, the properties of exponential dichotomy and trichotomy for evolution equations represent two domains of the stability theory with an impressive development. …”
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From de Sitter to de Sitter: Decaying Vacuum Models as a Possible Solution to the Main Cosmological Problems by G. J. M. Zilioti, R. C. Santos, J. A. S. Lima

“…It is also argued that even the cosmological constant problem becomes less severe provided that the characteristic scales of the two limiting de Sitter manifolds are predicted from first principles.…”
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Strolling along gravitational vacua by Emine Şeyma Kutluk, Ali Seraj, Dieter Van den Bleeken

“…Abstract We consider General Relativity (GR) on a space-time whose spatial slices are compact manifolds M with non-empty boundary ∂M. We argue that this theory has a non-trivial space of ‘vacua’, consisting of spatial metrics obtained by an action on a reference flat metric by diffeomorpisms that are non-trivial at the boundary. …”
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Global Bifurcation in 2m-Order Generic Systems of Nonlinear Boundary Value Problems by Xiaoling Han, Jia Xu, Guowei Dai

“…It will be shown that if the functions, f and g are “generic” then the solution set of the systems consists of a countable collection of 2-dimensional, Ck manifolds.…”
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Generalized α-Attractor Models from Elementary Hyperbolic Surfaces by Elena Mirela Babalic, Calin Iuliu Lazaroiu

“…We consider generalized α-attractor models whose scalar potentials are globally well-behaved and whose scalar manifolds are elementary hyperbolic surfaces. Beyond the Poincaré disk D, such surfaces include the hyperbolic punctured disk D⁎ and the hyperbolic annuli A(R) of modulus μ=2log⁡R>0. …”
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Winding topology of multifold exceptional points by Tsuneya Yoshida, J. Lukas K. König, Lukas Rødland, Emil J. Bergholtz, Marcus Stålhammar

“…In a D-dimensional parameter space (D≥c), the resultant winding numbers topologically characterize (D−c)-dimensional manifolds of generic (symmetry-protected) EPns, whose codimension is c=2n−2 (c=n−1). …”
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An Approach to Classical Quantum Field Theory Based on the Geometry of Locally Conformally Flat Space-Time by John Mashford

“…For simplicity of exposition we consider LMCSs which have locally Euclidean topology (i.e., are manifolds) and hence are Möbius structures. We describe natural principal bundle structures associated with Möbius structures. …”
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Application of cayley differential unitary space-time code in multiple-input multiple-output power line communication by Jiaxin DING, Liangfang NI, Yi WANG, Huijie DAI

“…The application of Cayley differential unitary space-time code in MIMO power line communication system was studied.The linear space of complex skew-Hermitian matrices was mapped to isotropic unitary matrix constellations represented by highly non-linear Stiefel manifolds,by which signals were transmitted through a block fading multiple input multiple output power line channel with in a differential mode.Finally,based on the unconstrained solution of the Cauchy random by which data streams were represented,the approximate linear maximum likelihood estimation of the transmitted signal was induced.Simulation results show that although the performance of the proposed scheme is slightly lower than that of the system based on orthogonal differential space-time code in terms of bit error rate and diversity gain,it can ensure high-speed and reliable communication at higher signal-to-noise ratios,and is suitable for multi-input multi-output power line communication systems requiring high-speed data transmission.…”
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Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories by Philip C. Argyres, Mario Martone, Zekai Yu

“…Abstract We determine new genus 2 Seiberg-Witten curves for four dimensional rank 2 absolute N $$ \mathcal{N} $$ =4 superYang-Mills theories using the automorphism twist approach. The conformal manifolds of these curves agree with those predicted by S-duality orbits of global structures, and we use this to identify which of the two S-duality orbits of the so 5 ≃ sp 4 $$ \mathfrak{so}(5)\simeq \mathfrak{sp}(4) $$ superYang-Mills theory the genus-2 curve corresponds to. …”
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Web of 4D dualities, supersymmetric partition functions and SymTFT by Zhihao Duan, Qiang Jia, Sungjay Lee

“…We revisit its canonical quantization and construct topological boundary states on several important classes of four manifolds that are spin, non-spin and torsional. We highlight a web of four-dimensional dualities, which can be naturally interpreted within the SymTFT framework. …”
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An Information Geometric Perspective on the Complexity of Macroscopic Predictions Arising from Incomplete Information by Sean Alan Ali, Carlo Cafaro, Steven Gassner, Adom Giffin

“…The IGE is an information geometric measure of complexity of geodesic paths on curved statistical manifolds underlying the entropic dynamics of systems specified in terms of probability distributions. …”
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The chiral torsional anomaly and the Nieh-Yan invariant with and without boundaries by Johanna Erdmenger, Ioannis Matthaiakakis, René Meyer, Dmitri Vassilevich

“…In the known examples of non-vanishing Nieh-Yan invariant on manifolds without boundaries, the heat kernel expansion breaks down, making the index ill-defined. …”
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Predicting Tipping Points in a Family of PWL Systems: Detecting Multistability via Linear Operators Properties by Joaquin Alvarez-gallegos, Sishu Shankar Muni, Hector Gilardi-velázquez, Rıcardo Cuesta-garcía, J. L. Echenausía-monroy

“…The linearized system of the model is analyzed, the stable and unstable manifolds are taken to be real vectors in space, and the changes suffered by these vectors as a result of the modification of the parameter are examined using such simple metrics as the magnitude of a vector or the angle between two vectors in space. …”
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Carbon footprint of alternative protein sources for Atlantic salmon (Salmo salar) aquaculture: A two-step systematic literature review by Javier Cantillo, Paritosh C. Deshpande

“…Yet, its importance is expected to grow manifolds in the future, and to ensure its expansion in a sustainable way, alternative feed ingredients are needed. …”
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Dynamic Modelling and Continuous Trajectory Tracking Control of Space Robots Based on Lie Group SE(3) by Yong Wang, Kejie Gong, Yurui Duan, Boyong He, Hong Ma

“…For space robots, it is difficult to track continuous time-varying manifolds on SE(3) by using traditional closed-loop control strategies, which are designed to track the position and the attitude separately. …”
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Nontrivial bundles and defect operators in n-form gauge theories by Shan Hu

“…We compute the commutation relations between the defect operators and Chern-Simons operators on odd-dimensional closed manifolds, and derive the generalized Witten effect for U (2j−1)(c d−2j ). …”
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Eine Diskursgeschichte der ›Diabelli-Variationen‹. Makroform und Interpretation im Spiegel analytischer Texte aus 200 Jahren by Cosima Linke

“…Relevant topoi of reception history like the topoi of singularity and transgression, unintelligibility and “manifoldness” are also scrutinized as well as the great variety of titles and indications chosen to characterize individual variations. …”
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Exact controllability for systems describing plate vibrations. A perturbation approach by Bournissou, Megane, Ervedoza, Sylvain, Tucsnak, Marius

“…We also discuss the possible application of the methods in this paper to systems described by Schrödinger type equations on manifolds or by the related Berger’s nonlinear plate equation.…”
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