P-adic splittings of the quantum connection

We introduce operations with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -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.

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Publication Details

Journal
Journal de l’École polytechnique — Mathématiques
Published
2025-12-09
DOI
https://doi.org/10.5802/jep.324
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

P-adic splittings of the quantum connection

Paul Seidel
Journal de l’École polytechnique — Mathématiques
Algebraic Geometry and Number Theory
article

P-adic splittings of the quantum connection

Paul Seidel
article en

Abstract

We introduce operations with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -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.

Journal de l’École polytechnique — MathématiquesVol. 13
IIT@MIT (US)
Openalex Percentile: Top 56%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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P-adic splittings of the quantum connection — Paul Seidel · Journal de l’École polytechnique — Mathématiques (2025) | TGRS Research Map | TGRS