搜索结果: 1-11 共查到“拓扑学 representations”相关记录11条 . 查询时间(0.062 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Topology optimization via implicit neural representations
隐式 神经表示 拓扑优化
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2023/4/24
Along with the rapid development of artificial intelligence (AI) technology, scientific research enters a new era of AI. Topology optimization (TO) and AI technology are recently showing a growing tre...
Topological components of spaces of representations
representations Topological components
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2015/9/29
Let S be a closed oriented surface of genus g > 1 and let ~r denote its fundamental
group. Let G be a semisimple Lie group. The purpose of this paper is to investigate the global properties of the s...
TOPOLOGICAL REPRESENTATIONS OF MATROIDS
TOPOLOGICAL REPRESENTATIONS MATROIDS
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2015/8/25
One of the foundations of oriented matroid theory is the topological representation theorem of Folkman and Lawrence [8]. It says that an oriented (simple) matroid can be realized uniquely as an arrang...
Representations of the Kauffman skein algebra II: punctured surfaces
Representations of the Kauffman skein algebra II punctured surfaces Geometric Topology
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2012/6/29
In earlier work, we constructed invariants of irreducible representations of the Kauffman skein algebra of a surface. We introduce here an inverse construction, which to a set of possible invariants a...
Representations of the Kauffman skein algebra I: invariants and miraculous cancellations
Representations of the Kauffman skein algebra I invariants miraculous cancellations Geometric Topology
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2012/6/29
We study finite-dimensional representations of the Kauffman skein algebra of a surface S. In particular, we construct invariants of such irreducible representations when the underlying parameter q is ...
Knot state asymptotics II, Witten conjecture and irreducible representations
Knot state asymptotics II Witten conjecture irreducible representations Geometric Topology
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2011/8/30
Abstract: This article pursues the study of the knot state asymptotics in the large level limit initiated in "Knot sate Asymptotics I". As a main result, we prove the Witten asymptotic expansion conje...
Knot state asymptotics I, AJ Conjecture and abelian representations
Knot state asymptotics I AJ Conjecture abelian representations Geometric Topology
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2011/8/30
Abstract: Consider the Chern-Simons topological quantum field theory with gauge group SU(2) and level k. Given a knot in the 3-sphere, this theory associates to the knot exterior an element in a vecto...
Relative homological algebra in categories of representations of infinite quivers
cover envelope torsion free flat representations of a quiver
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2010/11/26
In the first part of this paper, we prove the existence of torsion
free covers in the category of representations of quivers, (Q,R-Mod),for a wide class of quivers included in the class of the so-cal...
Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space
Lowest Weight Representations Super Schrodinger One Dimensional Space
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2010/11/26
Lowest weight modules, in particular, Verma modules over the N = 1, 2 super Schr¨odinger
algebras in (1+1) dimensional spacetime are investigated. The reducibility of the Verma
modules is analyzed v...
Ambiguities in recurrence-based complex network representations of time series
time series complex network perspective phase-space properties
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2010/4/1
Recently, different approaches have been proposed for studying basic properties of time series from a complex network perspective. In this work, the corresponding potentials and limitations of network...
Topological Representations of Posets
Topological Representations of Posets
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2010/11/1
Earlier an arbitrary poset $P$ was proved to be isomorphic to the collection of subsets of a space $M$ with two closures which are closed in the first closure and open in the other. As a space $M$ fo...