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- Publications
- Influence
Butterflies I: Morphisms of 2-group stacks
- E. Aldrovandi, B. Noohi
- Mathematics
- 27 August 2008
Abstract Weak morphisms of non-abelian complexes of length 2, or crossed modules, are morphisms of the associated 2-group stacks, or gr-stacks. We present a full description of the weak morphisms in… Expand
Generating Functional in CFT and Effective Action for Two-Dimensional Quantum Gravity on Higher Genus Riemann Surfaces
- E. Aldrovandi, L. Takhtajan
- Mathematics, Physics
- 25 June 1996
Abstract:We formulate and solve the analog of the universal Conformal Ward Identity for the stress-energy tensor on a compact Riemann surface of genus g > 1, and present a rigorous invariant… Expand
2-Gerbes bound by complexes of gr-stacks, and cohomology
- E. Aldrovandi
- Mathematics
- 20 December 2005
Abstract We define 2-gerbes bound by complexes of braided group-like stacks. We prove a classification result in terms of hypercohomology groups with values in abelian crossed squares and cones of… Expand
Free field representation of Toda field theories
- E. Aldrovandi, L. Bonora, V. Bonservizi, R. Paunov
- Physics
- 24 November 1992
We study the following problem: Can a classical sln Toda field theory be represented by means of free bosonic oscillators through a Drinfeld-Sokolov construction? We answer affirmatively in the case… Expand
Toda field theory as a clue to the geometry of Wn-gravity
- E. Aldrovandi, G. Falqui
- Physics
- 24 November 1994
We discuss geometrical aspects of Toda Fields generalizing the links between Liouville gravity and uniformization of Riemann surfaces of genus greater than one. The framework is the interplay between… Expand
Cup products, the Heisenberg group, and codimension two algebraic cycles
- E. Aldrovandi, N. Ramachandran
- Mathematics
- 7 October 2015
We define higher categorical invariants (gerbes) of codimension two algebraic cycles and provide a categorical interpretation of the intersection of divisors on a smooth proper algebraic variety.… Expand
The lagrangian approach to stochastic variational principles on curved manifolds
- E. Aldrovandi, D. Dohrn, F. Guerra
- Mathematics
- 1 March 1992
The classical definition of the action functional, for a dynamical system on curved manifolds, can be extended to the case of diffusion processes. For the stochastic action functional so obtained, we… Expand
Biextensions, bimonoidal functors, multilinear functor calculus, and categorical rings
- E. Aldrovandi
- Mathematics
- 19 January 2015
We associate to a bimonoidal functor, i.e. a bifunctor which is monoidal in each variable, a nonabelian version of a biextension. We show that such a biextension satisfies additional triviality… Expand
Le bilan jeunes rejoignants, un outil d'évaluation des acquis et des potentiels
- E. Aldrovandi
- Political Science
- 1993
Cet outil de bilan est destine a evaluer les acquis et les potentiels des jeunes, francophones ou non, qui arrivent en France suite a une procedure de regroupement familial. Il permet de recenser les… Expand
Stacks of Ann-Categories and their morphisms
- E. Aldrovandi
- Mathematics
- 29 January 2015
We show that $\mathit{ann}$-categories admit a presentation by crossed bimodules, and prove that morphisms between them can be expressed by special kinds spans between the presentations. More… Expand