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Titlebook: Configuration Spaces; Geometry, Topology a Filippo Callegaro,Frederick Cohen,Mario Salvetti Book 2016 Springer International Publishing Swi

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楼主: 银河
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Book 2016ith combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric group theory to applied algebraic topology..
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Marco Schmitt,Roger Häußling,Stefan Böschenc expansion when ., writing each coefficient of this expansion as a sum indexed by the faces . of the polyhedron, where the . term is the integral over . of a differential operator applied to the function .(.). In particular, if a Euclidean scalar product is chosen, we prove that the differential op
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Marco Schmitt,Roger Häußling,Stefan Böschenon . ↪ . computing the cohomology of .. Under some condition posed on the intersections of submanifolds we show that the Leray spectral sequence degenerates on ... This result generalizes well known properties of hyperplane arrangements. The main cause which rigidifies the spectral sequence is the w
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Transformation Towards Sustainabilityf them with probability ..; on the next step we connect every pair of retained vertices by an edge with probability .., and then fill in every triangle in the obtained random graph with probability .., and so on. As the result we obtain a random simplicial complex depending on the set of probability
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Values and Transformation in Central Asiaseveral cryptomorphic characterizations of abstract rigidity matroids (in terms of circuits, cocircuits, bases, hyperplanes). Moreover, the study of hyperplanes in abstract rigidity matroids leads us to state (and support with significant evidence) a conjecture about characterizing the class of abst
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Nygmet Ibadildin,Dinara Pisarevaand characteristic varieties of complex hyperplane arrangement complements and cohomology of Milnor fibers. In this paper, two properties of multinets, inducibility and completeness, and the relationship between them are explored with several examples presented. Specializations of multinets plays an
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Transformation and European Integrationauthors. In this paper we give a vanishing conjecture of a different nature with respect to the known results: namely, we conjecture that if the graph of double points of the arrangement is connected then there is no nontrivial monodromy. This conjecture is obviously combinatorial (meaning that it d
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