Morphogenesis of liquid crystal topological defects during the nematic-smectic A phase transition. [PDF]
Nat Commun, 2017 Gim MJ, Beller DA, Yoon DK.
europepmc +1 more source
Re-locative guided search optimized self-sparse attention enabled deep learning decoder for quantum error correction. [PDF]
Sci RepShinde UU, Bandaru R.
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Influence of Contact Lens Parameters on Cornea: Biomechanical Analysis. [PDF]
Bioengineering (Basel)Ramasubramanian D +2 more
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Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]
Entropy (Basel)Fré PG, Sorin AS, Trigiante M.
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Cohomology of the toric arrangement associated with $$A_n$$ A n [PDF]
Journal of Fixed Point Theory and Applications, 2018 14 pages.
Olof Bergvall
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Projective wonderful models for toric arrangements [PDF]
Advances in Mathematics, 2018 In this paper we illustrate an algorithmic procedure which allows to build projective wonderful models for the complement of a toric arrangement in a n-dimensional algebraic torus T. The main step of the construction is a combinatorial algorithm that produces a toric variety by subdividing in a suitable way a given smooth fan.
Corrado De Concini, Giovanni Gaiffi
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The homotopy type of toric arrangements [PDF]
Journal of Pure and Applied Algebra, 2011 A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex homotopy equivalent to the arrangement complement, with a combinatorial description similar to that of the well-known Salvetti complex.
Luca Moci, Simona Settepanella
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Two examples of toric arrangements [PDF]
Journal of Combinatorial Theory - Series A, 2019 We show that the integral cohomology algebra of the complement of a toric arrangement is not determined by the poset of layers. Moreover, the rational cohomology algebra is not determined by the arithmetic matroid (however it is determined by the poset of layers).
Roberto Pagaria
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Affine and Toric Hyperplane Arrangements [PDF]
Discrete and Computational Geometry, 2009 We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements. For arrangements on the torus, we also generalize Zaslavsky's fundamental results on the number of regions.
Richard Ehrenborg +2 more
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Cohomology of complements of toric arrangements associated with root systems [PDF]
Research in Mathematical Sciences, 2022 AbstractWe develop an algorithm for computing the cohomology of complements of toric arrangements. In the case a finite group $$\Gamma $$ Γ is acting on the arrangement, the algorithm determines the cohomology groups as representations of $$\Gamma $$ Γ .
Olof Bergvall
exaly +6 more sources