Results 41 to 50 of about 55,778 (240)
A tight colored Tverberg theorem for maps to manifolds (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Any continuous map of an $N$-dimensional simplex $Δ _N$ with colored vertices to a $d$-dimensional manifold $M$ must map $r$ points from disjoint rainbow faces of $Δ _N$ to the same point in $M$, assuming that $N≥(r-1)(d+1)$, no $r$ vertices of $Δ _N ...
Pavle V. M. Blagojević +2 more
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On equivariant deformation of maps
Publicacions Matemàtiques, 2021 We work in the smooth category: manifolds and maps are meant to be smooth. Let G be a finite group acting on a connected closed manifold X and f an equivariant self-map on X with flA fixpointfree, where A is a closed invariant submanifold of X with codim A >- 3. The purpose of this paper is to give a proof using obstruction theory of the following fact:
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Geometric versus homotopy theoretic equivariant bordism
, 2004 By results of Loeffler and Comezana, the Pontrjagin-Thom map from geometric G-equivariant bordism to homotopy theoretic equivariant bordism is injective for compact abelian G. If G = S^1 x ...
Hanke, Bernhard
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Conjugates of strongly equivariant maps [PDF]
Pacific Journal of Mathematics, 1994 Let \(G_1\) and \(G_2\) be hermitian algebraic groups with associated symmetric domains \(X_1\) and \(X_2\), respectively. A holomorphic embedding \(\tau : X_1 \to X_2\) is called weakly equivariant if there exists a morphism of algebraic groups \(\rho : G_1 \to G_2\) compatible with \(\tau\).
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Gromov’s Oka Principle for Equivariant Maps [PDF]
The Journal of Geometric Analysis, 2020 We take the first step in the development of an equivariant version of modern, Gromov-style Oka theory. We define equivariant versions of the standard Oka property, ellipticity, and homotopy Runge property of complex manifolds, show that they satisfy all the expected basic properties, and present examples.
Frank Kutzschebauch +2 more
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Advanced Energy Materials, EarlyView.This perspective highlights how machine learning accelerates sustainable energy materials discovery by integrating quantum‐accurate interatomic potentials with property prediction frameworks. The evolution from statistical methods to physics‐informed neural networks is examined, showcasing applications across batteries, catalysts, and photovoltaics ...
Kwang S. Kim
wiley +1 more source
Coassembly is a homotopy limit map
, 2020 We prove a claim by Williams that the coassembly map is a homotopy limit map. As an application, we show that the homotopy limit map for the coarse version of equivariant $A$-theory agrees with the coassembly map for bivariant $A$-theory that appears in ...
Malkiewich, Cary, Merling, Mona
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Tandem Takeoff: Powering Tomorrow with Industrial‐Grade Perovskite/Silicon Solar Cells
Advanced Energy Materials, EarlyView.Perovskite/silicon tandem solar cells have recently achieved certified power conversion efficiencies of 34.85%, far exceeding the Shockley‐Queisser limit for single‐junction silicon and standalone perovskite cells. This review highlights the latest advances in the design, integration, and optimization of perovskite top cells for monolithic tandem ...
Maria Vasilopoulou +19 more
wiley +1 more source
Critical $O(d)$-equivariant biharmonic maps
, 2015 We study $O(d)$-equivariant biharmonic maps in the critical dimension. A major consequence of our study concerns the corresponding heat flow. More precisely, we prove that blowup occurs in the biharmonic map heat flow from $B^4(0, 1)$ into $S^4$.
Cooper, Matthew K.
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Advanced Intelligent Discovery, EarlyView.We investigate MACE‐MP‐0 and M3GNet, two general‐purpose machine learning potentials, in materials discovery and find that both generally yield reliable predictions. At the same time, both potentials show a bias towards overstabilizing high energy metastable states. We deduce a metric to quantify when these potentials are safe to use.
Konstantin S. Jakob +2 more
wiley +1 more source