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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：μ-basis for a tensor product rational surface with respect to one variable
张量积 有理曲面 变量 μ基
2023/4/28
The method of moving planes and moving quadrics expresses the implicit equation of a rational parametric surface as a compact determinant. Efficient computation of the moving planes and moving quadric...
The Energy-Momentum tensor on low dimensional $\Spinc$ manifolds
Spinc structures Dirac operator eigenvalues Energy-Momentum tensor compact surfaces isometric immersions
2012/4/18
On a compact surface endowed with any $\Spinc$ structure, we give a formula involving the Energy-Momentum tensor in terms of geometric quantities. A new proof of a B\"{a}r-type inequality for the eige...
Abstract: The Ricci tensor (Ric) is fundamental to Einstein's geometric theory of gravitation. The 3-dimensional Ric of a spacelike surface vanishes at the moment of time symmetry for vacuum spacetime...
Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms
Logarithmic tensor category theory, VI: Expansion condition associativity of logarithmic intertwining operators associativity isomorphisms
2011/2/23
This is the sixth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
We prove explicit formulas for Chern classes of tensor products of vector bundles, with coefficients given by certain universal polynomials in the ranks of the two bundles.
Generalization of the Bollobás-Riordan polynomial for tensor graphs
(multivariate) topological graph polynomials group eld theory
2011/1/19
Tensor models are used nowadays for implementing a fundamental theory of quan-tum gravity. We de ne here a polynomial T encoding the supplementary topological information.
CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities
CMB Bispectrum Primordial Scalar Vector Tensor non-Gaussianities
2011/3/2
We present an all-sky formalism for the CMB bispectrum induced by the primordial non-Gaussianities not only in scalar but also in vector and tensor fluctuations. We find that the bispectrum can be for...
Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors
Logarithmic tensor category theory Intertwining maps and tensor product bifunctors
2011/2/23
This is the third part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators
Logarithmic tensor category theory Logarithmic formal calculus properties of logarithmic intertwining operators
2011/2/23
This is the second part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper ...
We examine the use of the mathematics of category theory in the description of quantum states
by tensor networks. This approach enables the development of a categorical framework allowing a
solution...
Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules
Logarithmic tensor category theory for generalized modules conformal vertex algebra Introduction strongly graded algebras generalized modules
2011/2/23
This is the first part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra.
Quantum Geometric Tensor (Fubini-Study Metric) in Simple Quantum System: A pedagogical Introduction
Quantum Geometric Tensor Simple Quantum System pedagogical Introduction
2011/3/2
Geometric Quantum Mechanics is a novel and prospecting approach motivated by the belief that
our world is ultimately geometrical. At the heart of that is a quantity called Quantum Geometric Tensor (o...
Tensor products of representations up to homotopy
Tensor products of representations homotopy
2010/12/14
We study the construction of tensor products of representations up to homotopy, which
are the A∞ version of ordinary representations. We provide formulas for the construction
of tensor products of r...
Three-Colorings of Cubic Graphs and Tensor Operators
3-colorings of cubic planar graphs tensor algebras
2010/12/6
Penrose’s work [6] established a connection between the edge 3-colorings of cubic planar graphs and tensor algebras. We exploit this point of view in order to get algebraic representations of the cate...
Covering morphisms of crossed complexes and of cubical omega-groupoids with connection are closed under tensor product
Covering morphisms of crossed complexes omega-groupoids connection
2010/12/14
The aim is the theorems of the title and the corollary that the tensor product of two free crossed resolutions of groups or groupoids is also a free crossed resolution of the product group or groupoid...