Selecta Mathematica
1420-9020
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Các bài báo tiêu biểu
Computation of cohomology of Lie conformal and Poisson vertex algebras
Tập 26 - Trang 1-51 - 2020
We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as for the universal affine and Virasoro Poisson vertex algebras. We establish finite dimensionality of this cohomology for conformal Poisson vertex (super)algebras that are finitely and freely generated by elements of posit......
A tetrachotomy for expansions of the real ordered additive group
Tập 27 - Trang 1-36 - 2021
Let
$$\mathcal {R}$$
be an expansion of the ordered real additive group. When
$$\mathcal {R}$$
is o-minimal, it is known that either
......
Cohomology of semisimple local systems and the decomposition theorem
Tập 30 - Trang 1-62 - 2023
In this paper, we study the cohomology of semisimple local systems in the spirit of classical Hodge theory. On the one hand, we construct a generalized Weil operator from the complex conjugate of the cohomology of a semisimple local system to the cohomology of its dual local system, which is functorial with respect to smooth restrictions. This operator allows us to study the Poincaré pairing, usua......
Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations
Tập 12 - Trang 241-270 - 2006
Zero curvature formulations, pseudo-potentials, modified versions, “Miura transformations”, conservation laws, and nonlocal symmetries of the Korteweg–de Vries, Camassa–Holm and Hunter–Saxton equations are investigated from a unified point of view: these three equations belong to a two-parameter family of equations describing pseudo-spherical surfaces, and therefore their basic integrability prope......
A combinatorial calculation of the Landau–Ginzburg model $$M={\mathbb {C}}^{3},W=z_1 z_2 z_3$$
Tập 23 - Trang 519-532 - 2016
The aim of this paper is to apply ideas from the study of Legendrian singularities to a specific example of interest within mirror symmetry. We calculate the Landau–Ginzburg A-model with
$$M={\mathbb {C}}^{3},W=z_1 z_2 z_3$$
in its guise as micro......
Enhanced specialization and microlocalization
Tập 27 - Trang 1-32 - 2021
Enhanced ind-sheaves provide a suitable framework for the irregular Riemann–Hilbert correspondence. In this paper, we show how Sato’s specialization and microlocalization functors have a natural enhancement, and discuss some of their properties.