Results 61 to 70 of about 1,856,865 (220)
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 Weyl group equivariant maps [PDF]
Proceedings of the American Mathematical Society, 2006 We prove an equivariant analogue of Chevalley’s isomorphism theorem for polynomial, C ∞ C^{\infty } or C ω C^{\omega } maps.
Koranyi, A, Szőke, R
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Infinite flags and Schubert polynomials
Forum of Mathematics, SigmaWe study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched ...
David Anderson
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Various notions of amenability for not necessarily locally compact groupoids [PDF]
Surveys in Mathematics and its Applications, 2014 We start with a groupoid G endowed with a family W of subsets mimicking the properties of a neighborhood basis of the unit space (of a topological groupoid with paracompact unit space).
Mădălina Roxana Buneci
doaj
Singular equivariant asymptotics and the momentum map. Residue formulae in equivariant cohomology [PDF]
, 2013 Let $M$ be a smooth manifold and $G$ a compact connected Lie group acting on $M$ by isometries. In this paper, we study the equivariant cohomology of ${\bf X}=T^\ast M$, and relate it to the cohomology of the Marsden-Weinstein reduced space via certain ...
Pablo Ramacher
semanticscholar +1 more source
On the space of equivariant local maps [PDF]
Topological Methods in Nonlinear Analysis, 2015 We introduce the space of equivariant local maps and present the full proof of the splitting theorem for the set of otopy classes of such maps in the case of a representation of a compact Lie group.
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Trustworthy Inverse Molecular Design via Alignment with Molecular Dynamics
Advanced Science, EarlyView.Data‐driven inverse molecular design (IMD) is a promising approach to discovering new molecules with desired properties. Despite the remarkable progress, existing IMD methods lag behind in terms of trustworthiness, as indicated by their misalignment with the ground‐truth function that models the molecular dynamics.
Kevin Tirta Wijaya +3 more
wiley +1 more source
Characterization of large energy solutions of the equivariant wave map problem: I [PDF]
, 2012 We consider $1$-equivariant wave maps from $\Bbb{R}^{1+2}\to\Bbb{S}^2$ of finite energy. We establish a classification of all degree one global solutions whose energies are less than three times the energy of the harmonic map~$Q$. In particular, for each
R. Cote, C. Kenig, A. Lawrie, W. Schlag
semanticscholar +1 more source
Applied Artificial Intelligence in Materials Science and Material Design
Advanced Intelligent Systems, EarlyView.AI‐driven methods are transforming materials science by accelerating material discovery, design, and analysis, leveraging large datasets to enhance predictive modeling and streamline experimental techniques. This review highlights advancements in AI applications across spectroscopy, microscopy, and molecular design, enabling efficient material ...
Emigdio Chávez‐Angel +7 more
wiley +1 more source
Stability and equivariant maps
Inventiones Mathematicae, 1989 Consider a linearized action of a reductive algebraic group on a projective algebraic varietyX over an algebraically closed field. In this situation Mumford [1] defined the concept of stability for points ofX. Given an equivariant morphismY→X we introduce a suitable linearization of the action onY and relate stability inY to stability inX.
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