We discuss the regularization of certain hypergeometric integrals appearing in 2D CFT, a step needed in the construction of the BPZ minimal models via the Coulomb gas formalism. The method is a generalization of Pochhammer's regularization of the Euler Beta-function. The constructions of the relevant homology classes are inspired by a recent singular-geometric analysis of the Dotsenko--Fateev integrand.Comment: 20 pages, 6 figures. To appear in Lett. Math. Phy
We apply experimental-mathematical principles to analyzecertain integrals relevant to the Ising theo...
We revisit the localization formulas of cohomology intersection numbers associated to a logarithmic ...
International audienceOn a hyperkähler fourfold X, Bloch's conjecture predicts that any involution a...
We introduce a simple procedure to integrate differential forms with arbitrary holomorphic poles on ...
We consider parametric Feynman integrals and their dimensional regularization from the point of view...
We show that the irregular connection on G_m constructed by Frenkel and Gross (Ann Math 170–173:1469...
The application of the residue theorem to bilateral hypergeometric series identities is systematical...
In recent work (math.QA/0309252) on multivariate hypergeometric integrals, the author generalized a ...
We study the hyperplane arrangements associated, via the minimal model programme, to symplectic quot...
In this paper, we are concerned about smoothing of Filippov systems around homoclinic-like connectio...
It is well known that Feynman integrals in dimensional regularization often evaluate to functions of...
We continue our study of one-loop integrals associated to BPS-saturated amplitudes in N=2 heterotic ...
19 pages, no figures.-- MSC1991 codes: 33C05, 33C55, 31B15.MR#: MR1393128 (98b:33007)Zbl#: Zbl 0864....
Abstract. This paper surveys some open problems in the theory of singularities of mappings. It does ...
Let (X, θ) be a compact complex manifold X equipped with a smooth (but not necessarily positive) clo...
We apply experimental-mathematical principles to analyzecertain integrals relevant to the Ising theo...
We revisit the localization formulas of cohomology intersection numbers associated to a logarithmic ...
International audienceOn a hyperkähler fourfold X, Bloch's conjecture predicts that any involution a...
We introduce a simple procedure to integrate differential forms with arbitrary holomorphic poles on ...
We consider parametric Feynman integrals and their dimensional regularization from the point of view...
We show that the irregular connection on G_m constructed by Frenkel and Gross (Ann Math 170–173:1469...
The application of the residue theorem to bilateral hypergeometric series identities is systematical...
In recent work (math.QA/0309252) on multivariate hypergeometric integrals, the author generalized a ...
We study the hyperplane arrangements associated, via the minimal model programme, to symplectic quot...
In this paper, we are concerned about smoothing of Filippov systems around homoclinic-like connectio...
It is well known that Feynman integrals in dimensional regularization often evaluate to functions of...
We continue our study of one-loop integrals associated to BPS-saturated amplitudes in N=2 heterotic ...
19 pages, no figures.-- MSC1991 codes: 33C05, 33C55, 31B15.MR#: MR1393128 (98b:33007)Zbl#: Zbl 0864....
Abstract. This paper surveys some open problems in the theory of singularities of mappings. It does ...
Let (X, θ) be a compact complex manifold X equipped with a smooth (but not necessarily positive) clo...
We apply experimental-mathematical principles to analyzecertain integrals relevant to the Ising theo...
We revisit the localization formulas of cohomology intersection numbers associated to a logarithmic ...
International audienceOn a hyperkähler fourfold X, Bloch's conjecture predicts that any involution a...