The Schwartz functions and the derivation
The derivation is studied in relation with the space of Schwartz of functions. This paper has been withdrawn by the author.
math.CA↗
arXiv subjects
Antoine Balan
Publications and source records attributed to Antoine Balan.
The Quantization of the Generalized mKdV Equations for $\hat {\SL}_2$
We construct quantum deformations of the integrals of motion of the generalized mKdV equations for $\hat {\SL}_2$. For this, we give the relevant vertex operator algebra and prove quantum Serre relations for vertex operators, it allows to construct a $q$-BGG resolution and to deform the classical integrals of motion in a commutativ family.
hep-th↗
The moduli space ${\cal M}_n(\Si)$ of stable fiber bundles over a compact Riemann surface
The moduli space of holomorphic fiber bundles ${\cal M}_n(\Si)$ over a compact Riemann surface $\Si$ is considered. A formula for the regularised determinant and an other for the symplectic form at trivial bundle are proposed.
math.DG↗
The Lax operators $\cal L$ of the Benney type equations bound with the circle
The Lax operators of the Benney type equations are studied on the circle. The vectors fields of the Lax operators are showed to commute with each other
solv-int↗