Results 21 to 30 of about 107 (104)
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
The purpose of this paper is to give geometric characterizations of minimal ruled real hypersurfaces $M$ in a non-flat complex space form by paying particular attention to integral curves of the characteristic vector field on $M$.
KIMURA, Makoto +2 more
openaire +2 more sources
Toric amplitudes and universal adjoints
Abstract A toric amplitude is a rational function associated with a simplicial polyhedral fan. The definition is inspired by scattering amplitudes in particle physics. We prove algebraic properties of such amplitudes and study the geometry of their zero loci. These hypersurfaces play the role of Warren's adjoint via a dual volume interpretation.
Simon Telen
wiley +1 more source
Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley +1 more source
Addressing Sustainability Challenges in Peptide Synthesis with Flow Chemistry and Machine Learning
A synthetic protocol for polypeptides 6–58 residue long, using recyclable greener solvent mixture (Anisole/DMSO) was developed and compared to traditional SPPS methods and to state‐of‐the‐art synthesizers. Abstract The high cost and the large amount of toxic waste generated during peptide production overshadow the current technology, requiring the ...
Kristóf Ferentzi +2 more
wiley +1 more source
Rigorous frameworks construction toward the development of science‐based machine learning (ML) schemes: invocation of statistical learning and data‐driven methods within the diverse materials science fields, from materials characterization to molecular modeling utilizing domain knowledge to facilitate fundamental understanding and scientific discovery.
Niki Vergadou, Vassilios Constantoudis
wiley +1 more source
Floer theory for the variation operator of an isolated singularity
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
wiley +1 more source
Persistence of unknottedness of clean Lagrangian intersections
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley +1 more source

