[Scissions $p$-adiques de la connexion quantique]
We introduce operations with $p$-adic integer coefficients, associated to idempotents in the quantum cohomology of a monotone symplectic manifold, and apply them to the structure of the quantum connection.
Nous introduisons des opérations à coefficients entiers $p$-adiques, associées à des idempotents dans la cohomologie quantique d’une variété symplectique monotone, et les appliquons à la structure de la connexion quantique.
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Keywords: Quantum cohomology, $p$-adic differential equations, cohomology operations
Mots-clés : Cohomologie quantique, équations différentielles $p$-adiques, opérations de Steenrod
Paul Seidel 1
CC-BY 4.0
@article{JEP_2026__13__111_0,
author = {Paul Seidel},
title = {\protect\emph{P}-adic splittings of the quantum connection},
journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
pages = {111--135},
year = {2026},
publisher = {\'Ecole polytechnique},
volume = {13},
doi = {10.5802/jep.324},
language = {en},
url = {https://jep.centre-mersenne.org/articles/10.5802/jep.324/}
}
TY - JOUR AU - Paul Seidel TI - P-adic splittings of the quantum connection JO - Journal de l’École polytechnique — Mathématiques PY - 2026 SP - 111 EP - 135 VL - 13 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.324/ DO - 10.5802/jep.324 LA - en ID - JEP_2026__13__111_0 ER -
Paul Seidel. P-adic splittings of the quantum connection. Journal de l’École polytechnique — Mathématiques, Tome 13 (2026), pp. 111-135. doi: 10.5802/jep.324
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