[PDF] Top 20 Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
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Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
... that the integration contour for the eigenvalues should be chosen so that the solution of the Schroedinger equation is polynomial of degree m, however, it is not known how to ... Voir le document complet
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Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
... a Bethe ansatz. The commutative limit reduces to the symplectic invariants, ...i.e. algebraic geometry, and thus we define non-commutative ... Voir le document complet
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Topological expansion of the β-ensemble model and quantum algebraic geometry in the sectorwise approach
... solve the loop equations of the β-ensemble model analogously to the solution found for the Hermitian matrices β = ...1, the solution was expressed using the ... Voir le document complet
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Homotopical algebraic geometry. I. Topos theory.
... Organization of the paper The paper is organized in five sections and one ...review the main definitions and results concerning S-categories. Most of the materials ... Voir le document complet
72
Some Applications of Bezoutians in Effective Algebraic Geometry
... 101 - 54602 Villers lès Nancy Cedex France Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex France Unité de recherche INRIA Rhône-Alpes : 65[r] ... Voir le document complet
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Free energy topological expansion for the 2-matrix model.
... theories, topological expansion, etc [33, 14]. However, only recently the understanding came that geometry itself plays a crucial role in constructing perturbative solutions to matrix ... Voir le document complet
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The sinelaw gap probability, Painlevé 5, and asymptotic expansion by the topological recursion
... typical of a mirror symmetry ...that the asymptotics of Jones polynomials are given by the topological recursion of a simple curve (the associated ...difficult and ... Voir le document complet
39
Derived algebraic geometry over En̳-rings
... The notion of an £2-monoidal oo-category is a homotopy-theoretic version of a braided monoidal category, a structure arising from the algebraic study of conformal field th[r] ... Voir le document complet
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The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
... Chapitre 2 Trois d´ efinitions du mod` ele ` a deux matrices Il existe plusieurs d´efinitions du mod`ele `a deux matrices, non ´ equivalentes. Suivant le contexte, c’est `a dire `a quelle application des matrices ... Voir le document complet
82
Principal non-commutative torus bundles
... trivial and thus isomorphic. However, in general it is not so easy to compute the K-theory groups of the algebras A(X)! Since, as mentioned above, our bundles behave like Serre fibrations in ... Voir le document complet
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Fibrations with non commutative fibers
... RKK-equivalence of two bundles A(X) and B(X)—any such equivalence induces an isomorphism between the respective spectral ...extend the converse might hold, at least in case where A(X) ... Voir le document complet
41
Consensus in non-commutative spaces
... in non-commutative spaces Rodolphe Sepulchre, Alain Sarlette and Pierre Rouchon Abstract— Convergence analysis of consensus algorithms is revisited in the light of the ... Voir le document complet
6
Homotopical algebraic geometry. II. Geometric stacks and applications.
... makes the complicial theory rather different from derived algebraic geom- etry for which the geometric intuition was instead quite close to the usual one, and constitutes a very ... Voir le document complet
229
A matrix model for the topological string II: The spectral curve and mirror geometry
... in the case of toric Calabi–Yau manifolds. We introduce here the fiducial geometry X 0 and its mirror curve S X 0 .... The matrix model M X 0 , as derived in [ 1 ], is summarized ... Voir le document complet
41
Symmetric monoidal structure on Non-commutative motives
... dg of dg categories. As an application, we obtain : (1) a computation of the spectra of morphisms in Mot loc dg in terms of non- connective algebraic K-theory; (2) a ... Voir le document complet
57
Phase structure of topological insulators by lattice strong-coupling expansion
... under the electron-electron interaction, extrapolated to the noninteracting limit ( β = ∞ ), is shown in ...investigated the effect of electron correlation on the phase structure ... Voir le document complet
8
Functional norms, condition numbers and numerical algorithms in algebraic geometry
... affect the overall complexity: We only compute the L ∞ -norm once, and the cost of this computation is dominated by that of the remaining ...real algebraic sets. ... Voir le document complet
54
Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants.
... emphasize the role of the loop equation 2-19, rather than equation 2-18, ...used the Lagrange interpolation formula for a polynomial in x, whereas we could have done the same thing with ... Voir le document complet
38
Geometry of resource interaction and Taylor–Ehrhard–Regnier expansion: a minimalist approach
... Taylor-Ehrhard-Regnier expansion and resource ...decomposition of the intuitionistic implication unveiled the relation between the alge- braic concept of linearity ... Voir le document complet
44
Brave new algebraic geometry and global derived moduli spaces of ring spectra.
... actually the main theorem of this paper (see Theorem ...that the approach presented in this paper can be extended to other, more interested and involved, moduli problems algebraic ... Voir le document complet
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