Results 1 to 10 of about 19,931 (156)
Noncommutative geometry of algebraic curves [PDF]
Proceedings of the American Mathematical Society, 2009 A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Nikolaev, Igor
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13. Noncommutative algebraic geometry [PDF]
Banach Center Publications, 2017 Several sets of quaternionic functions are described and studied with respect to hy-perholomorphy, addition and (non commutative) multiplication, on open sets of H, then Hamil-ton 4-manifolds analogous to Riemann surfaces, for H instead of C, are defined, and so begin to describe a class of four dimensional manifolds.
exaly +5 more sources
Algebraic deformations of toric varieties I. General constructions [PDF]
Advances in Mathematics, 2013 We construct and study noncommutative deformations of toric varieties by combining techniques from toric geometry, isospectral deformations, and noncommutative geometry in braided monoidal categories.
Cirio, Lucio +2 more
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Noncommutative real algebraic geometry of Kazhdan's property (T) [PDF]
Journal of the Institute of Mathematics of Jussieu, 2015 It is well-known that a finitely generated group $\Gamma$ has Kazhdan's property (T) if and only if the Laplacian element $\Delta$ in ${\mathbb R}[\Gamma]$ has a spectral gap.
Ozawa, Narutaka
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Physical Review Research, 2021 With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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Ingeniería y Ciencia, 2020 In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes +1 more
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Mathematics, 2020 This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and motivations. The first sections deal with model theory.
Alexei Kanel-Belov +6 more
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Geometry of noncommutative algebras [PDF]
Banach Center Publications, 2011 Let X be a scheme over an algebraically closed field k, and let x ∈ SpecR ⊆ X be a closed point corresponding to the maximal ideal m ⊆ R. Then OˆX,x is isomorphic to the prorepresenting hull, or local formal moduli, of the deformation functor DefR/m : → Sets. This suffices to reconstruct X up to etal´e coverings.
Eriksen, Eivind, Siqveland, Arvid
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Hopf Algebras, Renormalization and Noncommutative Geometry [PDF]
Communications in Mathematical Physics, 1998 We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of transverse index theory for foliations.
Connes, Alain, Kreimer, Dirk
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HOPF ALGEBRAS IN NONCOMMUTATIVE GEOMETRY [PDF]
Geometric and Topological Methods for Quantum Field Theory, 2003 Latex2e, 76 pages, lecture notes for the CIMPA Summer School in Villa de Leyva, Colombia, July 2001; minor corrections, 3 references ...
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